Question

For p(2) = 7 + 10x - 12x^2 - 10x^3 + 2x^4 + 3x^5, use synthetic substitution to evaluate

Answer 1

p(-3) = -428

Explanations:

Given the polynomial function expressed as:

`p(x)=7+10x-12x^2-10x^3+2x^4+3x^5`

Determine the value of p(-3)

`\begin{gathered} p(-3)=7+10(-3)-12(-3)_^2-10(-3)^3+2(-3)^4+3(-3)^5 \\ p(-3)=7-30-12(9)-10(-27)+2(81)+3(-243) \\ p(-3)=-23-108+270+162-729 \\ p(-3)=-428 \end{gathered}`

Hence the value of p(-3) is -428