Question

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

Answer 1

Heya

Here goes your answer

In the above polynomial

Alpha * beta =8

Answer 2

Answer:

$\large\bold\red{8}$

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 constant term,

we see that,

$= > ( \alpha \beta ) = 8$

Hence,

$\bold{alpha \:into\:beta = 8}$