4-Factor the polynomial x3 - 7x² + 16x – 12 completely if x – 3 is...
63
only
Using the Factor Theorem In Exercise use synthetic division to show that x is a soluti third-degree polynomial equation, and use the factor the polynomial completely. List all real of the equation. 59. x3 – 7x + 6 = 0, x = 2 60. x3 – 28x – 48 = 0, x = -4 61. 2x3 – 15x2 + 27x – 10 = 0, x = 62. 48x3 – 80x2 + 41x – 6 = 0, x =...
A polynomial P is given. P(x) = x3 - 2x2 + 4x - 8 (a) Factor Pinto linear and irreducible quadratic factors with real coefficients. P(x) = (x+2) (x²+4) (b) Factor P completely into linear factors with complex coefficients. P(x) = (x + 2)(x2+4) Need Help? Read It Watch It
SECTION 4.3 Polynomial Division; The Factor the polynomial function f(x). Then solve the equation f(x) = 0. 39, f(x) =x3 + 4x2 + x-6 40. fx) 5x - 2x 24 41, f(x) =x3-6x2 + 3x+10 42. f(x)-x3 + 2x2-13x + 10 43, f(x) = x3-x2-14x + 24 44.f(x) = x3-3x2 In Ex given. a): Fi b) C in gi - L 二 10x +24ー丁only, this one d) C gi ase 45' f(x) =x4-7x3 + 9x2 + 27x-54 plecs( 46, f(x)...
Factor the polynomial function f(x). Then solve the equation f(x)=0. f(x)=x3 +11x2 +23x-35 The factored polynomial function is f(x) = | |. (Factor completely.)
Solve the system by addition. 30) x - 2y = -16 -7x - ly = -8 Perform the indicated operations. 31) ( 2x2 + 2x - x3 + 1) - (4x2 - 8x - x3 + 6) Factor the difference of squares. 32) 49x2 - 16 Perform the indicated operation and simplify. ܕ܂ .3 ܙ30 Write a slope-intercept equation for a line with the given characteristics. 34) Passes through (3,-7) and (0,-2)
Find the quotient Q(x) and remainder
R(x) when the polynomial P(x)
is divided by the polynomial D(x).
P(x) =
4x5 + 9x4
− 5x3 +
x2 + x −
25; D(x)
= x4 + x3
− 4x − 5
Q(x) =
R(x) =
Use the Factor Theorem to show that x − c is a
factor of P(x) for the given values of
c.
P(x) =
2x4 −
13x3 −
3x2 + 117x − 135;
c = −3, c = 3...
4. Let P(x)=x3-5x2+x-5 Factor the polynomial into a product of linear factor some of which may by complex factors. (20pts)
x+5 + 4. Solve +7x+2 x-1 212+5x+2 3x28x+4 (a) You know the drill! Factor the denominators! (NOTE: If you need help factoring these polynomials, see Helping Handout: Lab 1B) i. Factor the first denominator: 6x2+7x +2 = ( OC ) ii. Factor the second denominator: 3x+8x+4-( iii. Factor the third denominator: 2x2+5x+2 = ( ) (b) Rewrite with factored denominators: x+5 x-1 X + (2x+ 1)(3x+2) x+2)(3x+2 ) (c) Find the restrictions: (x+2) (2x+1) AND AND (d) Find the LCM:...
Completely factor the following expression 2x2 - 7x+3 TTT Arial 3 (12pt) T - - E - MS @25 Path:p Words:0 QUESTION 2 Completely expand the logarithmic expression into a sum and difference of logs. Write all powers as factors. Simplify as much as possible. Show work, including each step of your expansion. log. ***1 TT T Arial 3 (12pt) T-5 - EM 's
Factor the polynomial f(x). Then solve the equation f) o. 10) f(x) x3+5x2- 9x-45 State the domain of the rational function. (6 points) 11) g(x) =ー2 x +2 Given that the polynomial function has the given zero, find the other zeros. 12) f(x)=x3-4x2 + 9x-10:2