Which of the following is one of the zeros of | vedclass

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

Question

(C) To find the zeros of the polynomial $p(x) = x^{3}-3x^{2}-5x+15$,we set $p(x) = 0$.Factor by grouping:$x^{2}(x-3) - 5(x-3) = 0$$(x^{2}-5)(x-3) = 0$

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(C) To find the zeros of the polynomial $p(x) = x^{3}-3x^{2}-5x+15$,we set $p(x) = 0$.Factor by grouping:$x^{2}(x-3) - 5(x-3) = 0$$(x^{2}-5)(x-3) = 0$The zeros are found by setting each factor to zero:$x-3 = 0 \implies x = 3$$x^{2}-5 = 0 \implies x^{2} = 5 \implies x = \pm\sqrt{5}$Comparing these values with the given options,$3$ is one of the zeros.

Which of the following is one of the zeros of the polynomial $x^{3}-3x^{2}-5x+15$?

Similar Questions

Which of the following is a factor of $(x+y)^{3}-(x^{3}+y^{3})$?

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

Find $p(0)$,$p(1)$,and $p(-2)$ for the following polynomial:
$p(y) = (y+2)(y-2)$

Expand the following:
$(4a - b + 2c)^2$

If $p(-3)=0,$ then one of the factors of $p(x)$ is.........

Vedclass Test Series

Exam Paper Generator

Online Exam Module