Find the quotient and the remainder when 2x^2 | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(N/A) To find the quotient and remainder,we perform polynomial long division of $2x^2 - 7x - 15$ by $x - 2$.Step $1$: Divide the first term of the div

Vedclass · Accepted Answer

Vedclass · Answer

(N/A) To find the quotient and remainder,we perform polynomial long division of $2x^2 - 7x - 15$ by $x - 2$.
Step $1$: Divide the first term of the dividend $(2x^2)$ by the first term of the divisor $(x)$ to get $2x$.
Step $2$: Multiply $2x$ by $(x - 2)$ to get $2x^2 - 4x$.
Step $3$: Subtract $(2x^2 - 4x)$ from $(2x^2 - 7x)$ to get $-3x$.
Step $4$: Bring down the next term $-15$ to get $-3x - 15$.
Step $5$: Divide the first term of the new expression $(-3x)$ by the first term of the divisor $(x)$ to get $-3$.
Step $6$: Multiply $-3$ by $(x - 2)$ to get $-3x + 6$.
Step $7$: Subtract $(-3x + 6)$ from $(-3x - 15)$ to get $-15 - 6 = -21$.
Thus,the Quotient $= 2x - 3$ and the Remainder $= -21$.

Find the quotient and the remainder when $2x^2 - 7x - 15$ is divided by $x - 2$.

Similar Questions

If $(x-1)$ is a factor of $x^{3}+7x^{2}+ax-3$,then find the value of $a$.

Factorise:
$84 - 2r - 2r^2$

By using the factor theorem,show that $(x+2)$ is a factor of the polynomial $6x^3 + 19x^2 + 16x + 4$ and then factorise the polynomial completely.

What are the possible expressions for the dimensions of the cuboids whose volumes are given below?
$\text{Volume} : 12ky^{2} + 8ky - 20k$

If $x^{2}-10x+21=(x+m)(x+n)$,then $m+n = \ldots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module