Question

Use the remainder theorem to divide 5x^2+9x-2 by x+3. what is the remainder?

A)16
B)-44
C)-20
D)40

Answer 1

A)16

Explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

=5(9) - 27 -2

= 45-29

= 16 !