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Asked Sep 27, 2019
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POLYNOMIAL AND RATIONAL FUNCTIONS
Using a given zero to write a polynomial as a product of linear fa...
е
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For the polynomial below, -1 is a zero.
h(x)x3
Зx2
7х — 3
Express h (x)
as a product of linear factors.
3)
2
h(x) (x 1)(
4x
i
?
X
미□
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Try again... POLYNOMIAL AND RATIONAL FUNCTIONS Using a given zero to write a polynomial as a product of linear fa... е Try Again For the polynomial below, -1 is a zero. h(x)x3 Зx2 7х — 3 Express h (x) as a product of linear factors. 3) 2 h(x) (x 1)( 4x i ? X 미□

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Expert Answer

Step 1

To factorize h(x) completely using the given information

Step 2

As h(-1) =0, it follows that (x+1) divides h(x). Find the remaining quadratic factor , either by long division or by comparing coefficients

Step 3
h(x) x-37x-3
note,h(-1)1-3+7-3 0.
So,h(x)xx +ax+b)
coefficient of x:-3 = a+1a-4;
cons tant coefficient: b=-3
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h(x) x-37x-3 note,h(-1)1-3+7-3 0. So,h(x)xx +ax+b) coefficient of x:-3 = a+1a-4; cons tant coefficient: b=-3

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Math

Calculus