Question

THE SUM AND PRODUCT OF ROOTS
RESPECTIVELY FOR THE POLINOMIAL
2x² + x-5 are​

Answer 1

$\huge\underline\mathtt\red{Solution:}$

$\huge\underline\mathtt{Given:}$

The polynomial=2x^2+ x-5

$\huge\underline\mathtt{To find:}$

The sum of the roots=?

The product of the roots=?

$\rule{300}{2}$

We know,

The sum of the roots= $- \frac{b}{a}$

The product of the roots=$\frac{c}{a}$

Here , a =2, b= 1 and c= -5

The sum of the roots

$- \frac{b}{a} \\ = - \frac{1}{2}$

The product of the roots

$\frac{c}{a} \\ = \frac{ - 5}{2}$

$\huge\underline\mathtt{ThankYou}$

Answer 2

$\huge\underline\mathtt\color{crimson}{Given:-}$

$\large\boxed{2x^2+x-5}$

$\huge\underline\mathtt\color{crimson}{We have to find:-}$

The product of the root=?

The sum of the root =?

$\huge\underline\mathtt\color{green}{As we know:-}$

The sum of the root =$\small \frac{-a}{b}$

The product of the root=$\small \frac{b}{c}$

Therefore,

a =2, b =1 , c= -5

The sum of the root = $\small \frac{-a}{b}$ =$\small\frac{-1}{2}$

The product of the root = $\small\frac{c}{a}$ = $\small\frac{-5}{2}$

$\huge\underline\mathtt\color{Aqua}{Be brainly}$