Question

if alpha, beta are the zeros of the polynomial X square + 5 x + 8 then alpha + beta is equal to​

Answer 1

Hey mate

Here is your answer

In following polynomial

Alpha + beta = -b/a

That is -5

Hope it helps u

Answer 2

Answer:

$\large\bold\red{-5}$

Step-by-step explanation:

Given,

a quadratic Polynomial

${x}^{2} + 5x + 8$

Also,

Given the roots of this Polynomial are

$\alpha \: \: and \: \: \beta$

Clearly,

we know that,

If alpha and beta are the roots of a quadratic Polynomial,

then it's form is given by,

${x}^{2} - ( \alpha + \beta )x + \alpha \beta$

Now,

observing the given polynomial and it's coefficients of x,

we see that,

$= > - ( \alpha + \beta ) = 5 \\ \\ = > \bold{( \alpha + \beta ) = - 5}$

Hence,

alpha + beta = -5