Find the zeroes of the polynomial:p(x)=(x-2)^ | vedclass

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

Question

(D) To find the zeroes of the polynomial $p(x)$,we set $p(x) = 0$.Given $p(x) = (x-2)^{2} - (x+2)^{2}$.Using the algebraic identity $a^2 - b^2 = (a-b)

Vedclass · Accepted Answer

$0$

Vedclass · Answer

(D) To find the zeroes of the polynomial $p(x)$,we set $p(x) = 0$.Given $p(x) = (x-2)^{2} - (x+2)^{2}$.Using the algebraic identity $a^2 - b^2 = (a-b)(a+b)$,where $a = (x-2)$ and $b = (x+2)$:$p(x) = [(x-2) - (x+2)] \cdot [(x-2) + (x+2)] = 0$$p(x) = (x - 2 - x - 2) \cdot (x - 2 + x + 2) = 0$$p(x) = (-4) \cdot (2x) = 0$$-8x = 0$$x = 0$Thus,the zero of the polynomial is $0$.

Find the zeroes of the polynomial:
$p(x)=(x-2)^{2}-(x+2)^{2}$

Similar Questions

Verify whether $2$ and $0$ are zeroes of the polynomial $x^{2}-2x$.

Verify whether the following are zeroes of the polynomial indicated against them:
$p(x) = (x + 1)(x - 2)$,$x = -1, 2$

Find the zero of the polynomial: $p(x) = 3x$

Verify whether $3$ and $5$ are zeros of the polynomial $x^{2}-x-6$ or not.

Verify whether the following is a zero of the polynomial indicated against it:
$p(x) = x^{2}, \, x = 0$

Vedclass Test Series

Exam Paper Generator

Online Exam Module

Find the zeroes of the polynomial:$p(x)=(x-2)^{2}-(x+2)^{2}$