Question

find the remainder when 2 x square - 3 x + 5 is divided by 2 x minus 3 does it exactly divide the polynomial ?
state reason

Answer 1

I hope it will help u the answer is in this

Answer 2

Answer:

Remainder is 5 and It does not divide exactly as remainder is not equal to 0.

Step-by-step explanation:

Given:

Polynomial, p(x) = 2x² - 3x + 5

Divisor = 2x - 3

To find: Remainder of the division.

We use Remainder Theorem,

Remainder Theorem states that If a polynomial p(x) is divided by a linear polynomial of the form x - a then the remainder is p(a)

So, here Remainder = p(3/2) = 2(3/2)² - 3(3/2) + 5

                                  = 2(9/4) - 9/2 + 5

                                  = (9/2) - 9/2 + 5

                                  = 5

Therefore, Remainder is 5 and It does not divide exactly as remainder is not equal to 0.