# Try again...POLYNOMIAL AND RATIONAL FUNCTIONSUsing a given zero to write a polynomial as a product of linear fa...еTry AgainFor the polynomial below, -1 is a zero.h(x)x3Зx27х — 3Express h (x)as a product of linear factors.3)2h(x) (x 1)(4xi?X미□

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See attachment help_outlineImage TranscriptioncloseTry 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□ fullscreen
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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 help_outlineImage Transcriptioncloseh(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 fullscreen

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### Calculus 