Create a polynomial p with the following attributes.
• As x → −∞, p(x) → ∞.
• The point (−1
• The degree of p is 5.
• The point (9, 0) is one of the x-intercepts of the graph of p.
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+ 4) Consider the polynomial p(x) = -2x – 5x +x* + 10x + 4x2 – 5x – 3, which can be written in factored form as p(x) = -(2x + 3)(x - 1)(x + 1)2 a. Describe the...
Question 2 0/1 pt 53 Details Suppose b is a positive number. Which of the following could be a factor of x2 bx + 35? Check all that apply. Write down and expand a polynomial that could have a factor of x + 5. Your polynomial: . Must be a second degree (quadratic) polynomial, • Must have a nbegative constant term, • Must have a positive x term. You must show all work for full credit: Check Answer Question 3...
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1. Find the inverse function of f(x) = -2 a) f-'(x) = 2+2 b) f-'(x) = 2x+1 c) f-'(x) = x - 2 d) f-'(x) = 42 2. Combine 2log x - logy into a single logarithm. log 2. a) log b) Home and logy d) log 3. Find the following: log, 27 a) 3 b) If f(x) is a graph of a polynomial that has only x-intercepts of even multiplicity and...
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Review for Sections 3.2 and 3.3: 1. [3 pts] Use synthetic division to divide x5 – x4 – 3x3 – 4x2 + 2x – 51 by x – 3. (Show algebraic work.) 2. [4 pts] Solve the equation x3 – 11x2 + 38x – 40 = 0 given that 4 is a zero of f (x) = x3 – 11x2 + 38x – 40. (Show algebraic work.) 3. [5 pts] Answer parts a. – c. below for the given polynomial...
college algebra course
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1. Simplify completely. Graph the line y 3+ 9. Include the coordinates of the x- and y-intercepts. 2. Sketch the graph of y 4 12. Include the coordinates of the x-intercepts, y-intercept, and vertex.
The polynomial of degree 4
The polynomial of degree 4, P(x) has a root of multiplicity 2 at x = 4 and roots of multiplicity 1 at x = 0 and x = – 2. It goes through the point (5, 7). Find a formula for P(x). P(x) =
Please do question 5a and
5b
4. In this problem we analyze the behavior of the polynomial f (x, y) = ax² + bxy + cy? (without using the Second Derivatives Test) by identifying the graph as a paraboloid. (a) By completing the square, show that if a + 0, then b 2 4ac - 62 f(x, y) = ax² + bxy + cy? = a [( 2 + Y + 2a 4a2 (b) Let D = 4ac – 62....
(1 point) Find a possible formula for a polynomialſ that has degree 2 or less, f(-1) = f(4) = 0 and (2)= -6. f(x)= help (formulas) (1 point) A grain silo consists of a cylindrical main section and a hemispherical roof. If the total volume of the silo (including the part inside the root section) is 14000 ft and the cylindrical part is 25 ft tall, what is the radius of the silo? Note: The following formulas may be useful...
At the horizontal intercept x = -3, coming from the (x+3) factor of the polynomial, the graph passes directly through the horizontal intercept. The factor (x+3) is linear (has a power of 1), so the behavior near the intercept is like that of a line - it passes directly through the intercept. We call this a single zero, since the zero corresponds to a single factor of the function. At the horizontal intercept x = 2, coming from the (x...