Question

if 2 and -3 are the zeroes of the quadratic polynomial x^2+ (a+1) x+b; then find the vaules of alpha and bita

Answer 1

Step-by-step explanation:

Given if αβ are zeroes of quadratic polynomial

f(x)=x

2

−5x+k (1)

& α−β=1

& α−β=5 & αβ = k

we know (α+β)

2

−(α−β)

2

=4αβ

25−1=4αβ

αβ=

4

24

=6

∴ value of k = αβ=6.

Answer 2

Step-by-step explanation:

If alpha and beta are the zeroes of the quadratic ... p(x)=x2+x+1,find the value of alpha2+aplha×beta+beta2 ... from question. (alpha+beta)^2 - alpha.beta. -1^2-1=0