Question

What is the remainder when (2x3 4x2 − 32x 18) ÷ (x − 3)?

Answer 1

Answer: The remainder will be 12.

Step-by-step explanation:

Since we have given that

$f(x)=(2x^3+4x^2 -32x+18)$

And $g(x)=x-3$

Now, we need to find the remainder while dividing f(x) by g(x).

So, by using "Remainder theorem" we get our answer.

$g(x)=0\\\\x-3=0\\\\x=3$

Now, we use x=3 in f(x).

$f(3)=2x^3+4x^2-32x+18\\\\f(3)=2(3)^3+4(3)^2-32(3)+18\\\\f(3)=2\times 27+4\times 9-96+18\\\\f(3)=54+36-96+18\\\\f(3)=12$

so, the remainder will be 12.

Answer 2

Hello,

f(x)=2x^3+4x²-32x+18
f(3)=2*3^3+4*3²-32*3+18=12

Remainder =12