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

Factorise $8x^{3} + 125y^{3} + 343 - 210xy$.

Classify the following as a constant,linear,quadratic,or cubic polynomial:
$3x^3$

If $x+y=12$ and $xy=27$,find the value of $x^{3}+y^{3}$.

Expand $\left(\frac{x}{2}+\frac{2 y}{3}-\frac{3 z}{4}\right)^{2}$

Find the zero of the polynomial in the following case:
$p(x) = \frac{2}{3}x + \frac{5}{4}$

Vedclass Test Series

Exam Paper Generator

Online Exam Module