Question

If p(x) =ax2 +bx+c is a quadratic polynomial then what is the relation if c/a with zeroes of p(x)

Answer 1

Given -:

$p(x) = {a}^{2} + bx + c$

To find -:

Relation between c/a

let's try to solve the question

we have polynomial

${a}^{2} + bx + c$

and

Now

sum of zeros i.e

$\alpha + \beta = \frac{ - b}{a}$

and product of zeros i. e

$\alpha \beta = \frac{c}{a}$

Hope this will help you

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