Question

What should be added to the following polynomial so that (x-3) is a factor? 2x^3+5x^2-28x-18

Answer 1

Answer:

3

Step-by-step explanation:

Let the number to be added be y

(x-3) is factor of 2x³+5x²-28x-18+y

x-3=0

x=3

f(x)= 2x³+5x²-28x-18+y

f(3)= 2(3)³+5(3)²-28(3)+y

0 = 54 + 45 - 84 - 18 + y

0 = 99 -102 +y

0 = -3 + y

y = 3

VERIFICATION:

(check out the attachment)

Hope it helps...

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