Question

find the zeros of the polynomial 2x3+x2-5x+2​

Answer 1

Answer:

given in attachment

Step-by-step explanation:

given in attachment

Answer 2

The roots of polynomial are

$x = \dfrac{1}{2}, x = 1, x = -2$

Step-by-step explanation:

We are given the following polynomial in the question:

$f(x) = 2x^3+x^2-5x+2$

We have to find the roots of the given polynomial.

$f(x) = 2x^3+x^2-5x+2 = 0\\= 2x^3-x^2+2x^2-5x+2=0\\\Rightarrow x^2(2x-1)+(2x^2-4x-x+2)=0\\\Rightarrow x^2(2x-1)+(2x-1)(x-2)=0\\\Rightarrow (2x-1)(x^2 + x - 2) = 0\\\Rightarrow (2x-1)(x-1)(x+2) = 0\\\Rightarrow (2x-1)=0,(x-1)=0,(x+2)=0\\\\\Rightarrow x = \dfrac{1}{2}, x = 1, x = -2$

Thus, the roots of polynomial are

$x = \dfrac{1}{2}, x = 1, x = -2$

#LearnMore

Find the zeroes of polynomial

https://brainly.in/question/9877562