Question
Asked Oct 17, 2019
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g(x)=2x^3+5x^2-28x-15

A) Determine real zero functions

B) find x and y intercepts

C) determine crosses or touches

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Expert Answer

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Step 1

We check for few xs by plugging them in the given function 

Of those values x=3 gives g(3)=0

This means (x-3) is a factor of the equation. 

Step 2

Then we divide the function by x=3 using synthetic division. 

Quotient = 2x^2+11x+5

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-15 - 28 2. 3 15 6 33 2 LO

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Step 3

Then we try to find x from 2x^2+11x+5 =0 by factoring.

x= -5 , -1/2

A...

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2x3 11x+5-0 2x2+10x1x+5=0 2x(x+5)+1(x+5)=0 (x+5)(2x+1) 0 x+5=0 x-5 2x+1-0 2x X=- 2

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