Question

Divide : (12x

3 + 10x

2 - 30x - 30 ) by (6x + 5)​

Answer 1

$\bf\purple{QuestioN:-}$

$\red\bf{Divide-\:(12x^3+10x^2-30)\:by\:(6x+5)}$

$\green\bf{AnsweR:-}$

12 x³ + 10 x² - 30 by 6x + 5 is the required question.

$:\implies\bf{\dfrac{12x^3+10x^2-30}{6x+5}}$

: ⇒  From 12x^3 divide 6x + 5 .

: ⇒ Then 2x^2 will be get as quotient .

: ⇒ Multiply 2x^2 with 6x + 5.

$:\implies\bf{(2x^2)\times(6x+5)=(12x^3+10x^2)}$

: ⇒ Next step is to subtract 12x^3 + 10 x^2 from 12x^3 + 10x^2 - 30.

$;\implies\bf{(12x^3+10x^2-30)-(12x^3+10x^2)=-30}$

: ⇒ Then -30 will be the remainder here .

: ⇒ - 30 can't be divided by (6x + 5).

: ⇒ So the quotient is 2x^2 and the remainder is -30.

All Done !!☺