Question

on dividing 3x³+x²+2x+5 by a polynomial g(x), the quotient and ramainder are (3x-5) and (9x+10) respectively. find g(x)​

Answer 1

Answer:

$x^{2} +2x +1$

Step-by-step explanation:

In the remainder formula:-

dividend =divisor x quotient +remainder

Here

dividend =3x³+x²+2x+5

divisor=g(x)

quotient= 3x-5

remainder= 9x+10

therefore substituting

3x³+x²+2x+5=g(x) x  3x-5 + 9x+10

3x³+x²+2x+5 -9x-10=g(x) x 3x-5

3x³+x²-7x -5=g(x) x 9x+10

3x³+x²-7x -5 / 3x-5=g(x)

$x^{2} +2x +1$=g(x)

HOPE THIS HELPS YOU!!!!!

PLEASE MARK AS BRAINLIEST ......