Question

the value of ax²+bx+c at x = -b/a​

Answer 1

Answer:

The value has been calculated to be c.

Step-by-step explanation:

For finding the value of any polynomial at a certain x value we just simply need to put the value in the expression and calculate it. Therefore we have been given here that we have to find the value of the following expression,

$ax^{2} + bx + c$

$x = - \frac{b}{a}$

Hence we now put the above-given values, in the expression as below:

⇒ $a(\frac{-b}{a} )^{2} + b (\frac{-b}{a} ) + c$

⇒ $a (\frac{b}{a} )^{2} - \frac{b^{2} }{a} + c$

⇒ $\frac{b^{2} }{a} - \frac{b^{2} }{a} + c$

⇒ c

Hence the value of the above polynomial is c at $x = - \frac{b}{a}$