Question

If the product of zero of the polynomial x^2-9x+a is 8 find the value of 'a'.

Answer 1

x^2-9x+a
64-72+a=0
-8+a=0
a=8

Answer 2

Answer:

let alpha and beta 20 roots of this polynomial.

now when we compare this polynomial with the general form of quadratic polynomial that is

${px}^{2} + qx + r$

we get the product of roots with using formula that

$\alpha . \beta = \: \frac{r}{p}$

we can easily get the value of a as shown in attachment.