Factorize the following polynomial: p(x) = x^ | vedclass

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

Question

(D) To factorize the quadratic polynomial $p(x) = x^{2} + 5x - 24$,we need to find two numbers whose product is $-24$ and whose sum is $5$.These two n

Vedclass · Accepted Answer

$(x + 8)(x - 3)$

Vedclass · Answer

(D) To factorize the quadratic polynomial $p(x) = x^{2} + 5x - 24$,we need to find two numbers whose product is $-24$ and whose sum is $5$.These two numbers are $8$ and $-3$,because $8 	imes (-3) = -24$ and $8 + (-3) = 5$.Now,split the middle term $5x$ as $8x - 3x$:$p(x) = x^{2} + 8x - 3x - 24$Group the terms:$p(x) = (x^{2} + 8x) - (3x + 24)$Factor out the common terms:$p(x) = x(x + 8) - 3(x + 8)$Finally,factor out the common binomial $(x + 8)$:$p(x) = (x + 8)(x - 3)$

Factorize the following polynomial: $p(x) = x^{2} + 5x - 24$

Similar Questions

Obtain a quadratic polynomial with the following conditions:
The sum of the zeros $= -\frac{1}{4}$;
The product of the zeros $= \frac{1}{4}$.

The degree of $p(x) = \dots$ is $5$. Which of the following polynomials satisfies this condition?

If the sum of the zeros is $2$ and the product of the zeros is $3,$ then the quadratic polynomial is........

Obtain the value of the following polynomial at the given value of $x$: $p(x) = 2x^4 - x^2 + 5x - 8$ at $x = -3$.

Divide $3 x^{4}+5 x^{3}-7 x^{2}+2 x+2$ by $x^{2}+3 x+1$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module