Use synthetic substitution to find g(4) and g(–5) for the function g(x) = 3x4 – 5x2 + 7x – 7.

Step-by-step explanation:

We write only the coefficients of the given equation inside the upside down symbol of division.

We first do synthetic substitution and then verify the result by putting g(4) and g(-5) in the original equation. Both should have the same result.

The questions are solved on the image attached.

2 x^2 -3x+p

sum of roots = 3/2

let other root be x

3+ x = 3/2

x= 3/2 - 3 = -3/2

product of roots = p/2

3× -3/2 = p/2

-9 = p

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