Math, asked by hhimanshusingh581, 2 months ago

B. If (3x-2) is a factor of 3x?+x²-20x+12, find other factors.​

Answers

Answered by Anonymous
2

(x-2) and (x+3) are other two factors

Let p(x)=3x³+x²-20x+12,

g(x)=3x-2

It is given that g(x) is factor of p(x).

3x-2)3x³+x²-20x+12(x²+x-6

3x³-2x²

___________________

3x²-20x

3x²-2x

___________________

-18x+12

-18x+12

______________________

Remainder (0)

______________________

BY DIVISION

p(x)=g(x)(x²+x-6)

= (3x-2)(x²+3x-2x-6)

= (3x-2)[x(x+3)-2(x+3)]

= (3x-2)(x+3)(x-2)

Therefore,

(x-2) and (x+3) are other two factors of p(x)

Similar questions