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State the degree of the following polynomial equation. Find all...
State the degree of the following polynomial equation. Find all of the real and imaginary roots...
State the degree of the following polynomial equation. Find all of the real and imaginary roots of the equation, stating multiplicity when it is greater than one. X6 10x5 25x4-0 The degree of the polynomial is Zero is a root of multiplicity is a root of multiplicity 2.
State the degree of the polynomial equation. 31) 3(x + 6)2(x - 6)3 = 0 Find...
State the degree of the polynomial equation. 31) 3(x + 6)2(x - 6)3 = 0 Find all of the real and imaginary roots, stating the multiplicity of each. 32) (x + 5)2(x - 1) = 0 Find the product. 33) (x - 7i)(x + 7i) Find all real solutions to the equation. 34) Vx + 13 = x - 7 Find all real and imaginary solutions. 35) -2x3 + 2x2 + 8x - 8 = 0
Use the rational zero theorem Descartes's rule of signs, and the theorem on bounds as aids...
Use the rational zero theorem Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation X-26x - 5 = 0 x=2 Type each answer only once Vse a comma to separate answers as needed. Type an exact answer using radicals and as needed)
3. Any polynomial with real coefficients of degree k can be factored com- pletely into first-degree...
3. Any polynomial with real coefficients of degree k can be factored com- pletely into first-degree binomials which may include complex numbers. That is, for any real ao, Q1, ..., āk ao + a1x + a22² + ... + axxk = C(x – 21)(x – z2....(x – zk) for some real C and 21, 22, ... Zk possibly real or complex. Therefore, up to multiplicity, every polynomial of degree k has exactly k-many roots, includ- ing complex roots. Find all...
Find a polynomial function of degree 3 with real coefficients that satisfies the given conditions. Zero...
Find a polynomial function of degree 3 with real coefficients that satisfies the given conditions. Zero of - 3 having multiplicity 3; f(2)= 25. f(x) = 0 (Simplify your answer. Use integers or fractions for any numbers in the expression.)
Analyze the polynomial function f(x)=x2 + x2 - 20x. Complete parts (a) through (c). (a) Find...
Analyze the polynomial function f(x)=x2 + x2 - 20x. Complete parts (a) through (c). (a) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are - (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is - (Type an integer or a simplified fraction.) (b) Determine the real zeros of the function and their multiplicity. Use this information to determine whether the graph...
Find the zeros for the given polynomial function and give the multiplicity for each zero. State...
Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero fix)=x2-8x? + + 16x Determine the zero(s). If they exist. The zero(s) is/are D (Type integers or decimals. Use a comma to separate answers as needed) Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x4 + 2x3-7x2-8x+12 What are the real zeros? Select the correct choice below and, if necessary, fill in the answer box to complete your answer Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.)...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor over the real numbers f(x) = x + 3x - 13x - 15 Find the real zeros of Select the correct choice below and if necessary, fill in the answer box to complete your answer OAX= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 2x2 - 4x2 - 38x + 76 Find the real zeros off. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. x = 2,719,- 19 (Simplify your answer. Type an exact answer, using radicals as needed.Use integers or fractions for any rational numbers in...
State the degree of the following polynomial equation. Find all of the real and imaginary roots of the equation, stating multiplicity when it is greater than one. X6 10x5 25x4-0 The degree of the polynomial is Zero is a root of multiplicity is a root of multiplicity 2.
State the degree of the polynomial equation. 31) 3(x + 6)2(x - 6)3 = 0 Find all of the real and imaginary roots, stating the multiplicity of each. 32) (x + 5)2(x - 1) = 0 Find the product. 33) (x - 7i)(x + 7i) Find all real solutions to the equation. 34) Vx + 13 = x - 7 Find all real and imaginary solutions. 35) -2x3 + 2x2 + 8x - 8 = 0
Use the rational zero theorem Descartes's rule of signs, and the theorem on bounds as aids in finding all real and imaginary roots to the equation X-26x - 5 = 0 x=2 Type each answer only once Vse a comma to separate answers as needed. Type an exact answer using radicals and as needed)
3. Any polynomial with real coefficients of degree k can be factored com- pletely into first-degree binomials which may include complex numbers. That is, for any real ao, Q1, ..., āk ao + a1x + a22² + ... + axxk = C(x – 21)(x – z2....(x – zk) for some real C and 21, 22, ... Zk possibly real or complex. Therefore, up to multiplicity, every polynomial of degree k has exactly k-many roots, includ- ing complex roots. Find all...
Find a polynomial function of degree 3 with real coefficients that satisfies the given conditions. Zero of - 3 having multiplicity 3; f(2)= 25. f(x) = 0 (Simplify your answer. Use integers or fractions for any numbers in the expression.)
Analyze the polynomial function f(x)=x2 + x2 - 20x. Complete parts (a) through (c). (a) Find the x- and y-intercepts of the graph of the function. The x-intercept(s) is/are - (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) The y-intercept is - (Type an integer or a simplified fraction.) (b) Determine the real zeros of the function and their multiplicity. Use this information to determine whether the graph...
Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis or touches the x-axis and turns around at each zero fix)=x2-8x? + + 16x Determine the zero(s). If they exist. The zero(s) is/are D (Type integers or decimals. Use a comma to separate answers as needed) Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x)=x4 + 2x3-7x2-8x+12 What are the real zeros? Select the correct choice below and, if necessary, fill in the answer box to complete your answer Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a comma to separate answers as needed.)...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor over the real numbers f(x) = x + 3x - 13x - 15 Find the real zeros of Select the correct choice below and if necessary, fill in the answer box to complete your answer OAX= (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any rational numbers in the expression. Use a...
Use the rational zeros theorem to find all the real zeros of the polynomial function. Use the zeros to factor f over the real numbers. f(x) = 2x2 - 4x2 - 38x + 76 Find the real zeros off. Select the correct choice below and, if necessary, fill in the answer box to complete your answer. A. x = 2,719,- 19 (Simplify your answer. Type an exact answer, using radicals as needed.Use integers or fractions for any rational numbers in...
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