Question

When p(x) = 9x4- 45x3 + 37x2 + x +2 is divided by x - 2, a student can determine the
remainder by evaluating p(2). What is the value of p(2)?
1
2
P(2) = 652
P(2) = 656
P(2) = -368
P(2) = -64

Answer 1

Answer:

-64

Step-by-step explanation:

Answer 2

The option that gives the correct answer when we evaluate p(2) of the given polynomial is; Option D; P(2) = -64

We are given the polynomial;

p(x) = 9x⁴ - 45x³ + 37x² + x + 2

We are told he wants to determine the remainder by evaluating p(2). This means we will plug in 2 for x in the polynomial to get the remainder.

Thus;

p(2) = 9(2)⁴ - 45(2)³ + 37(2)² + 2 + 2

p(2) = 9(16) - 45(8) + 37(4) + 4

p(2) = 144 - 360 + 148 + 4

p(2) = -64

In conclusion, p(2) = -64 and Option D is the correct option.

Read more at; https://brainly.com/question/18387716