Question

Evaluate the polynomial function for the given values of the variable

Answer 1

ANSWERS

• P(2) = 11

,

• P(-1) = 14

,

• P(0) = 7

Step-by-step explanation

Every time we have to evaluate a function, what we have to do is replace the variable with the value and solve the operations.

Let's solve P(2),

`P(2)=3(2)^2-4(2)+7`

Solve the powers first,

`P(2)=3\cdot4-4\cdot2+7`

Then the products,

`P(2)=12-8+7`

And then the additions/subtractions,

`P(2)=11`

The process is the same for the other two values,

`P(-1)=3(-1)^2-4(-1)+7=3\cdot1-4(-1)+7=3+4+7=14`

And,

`P(0)=3(0)^2-4(0)+7=3\cdot0-4\cdot0+7=0+0+7=7`

Hence, P(2) = 11, P(-1) = 14 and P(0) = 7.