Question

(x³ + 3x² – 31x +12) ' (x–4) Find the quotient and remainder.

Answer 1

I hope this will help you.

Answer 2

step 1: To obtain the first term of the

quotient, divide the highest degree

term of the dividend ( i.e x³ ) by

the highest degree of the divisor

( i.e x ) .

This is x² .

Then carry out the division process.

The remaining part is 7x² - 31x

step 2 : Now , to obtain the second term

of the quotient , divide the highest

degree term of the new dividend

( i.e 7x² ) by the highest degree term

of the divisor ( i.e x ) .

This gives 7x .

Again carry out the division process

with -3x + 12

Here ,

dividend = x³ + 3x² - 31x + 12

divisor = x - 4

quotient = x² + 7x - 3

remainder = 0

I hope this helps you.

: )