Question

Find the zeroes of the quadratic polynomial f(x) = x square + 8x + 15 and
verify the relationship between the zeroes and the coefficients.

Answer 1

Answer:

-5. and -3 are zeroes of quadratic polynomial.

Step-by-step explanation:

Factorise,

${x}^{2} + 8x + 15 \\ = > {x}^{2} + 3x + 5 x+ 15 \\ = > x (x + 3) + 5(x + 3) \\ = > (x + 5)(x + 3) \\ = > x + 5 = 0 \\ = > x = - 5 \\ and \: x + 3 = 0 \\ = > x = - 3$

To verify relationship

1) Put x=-5

we get,

=>25-40+15

=>0

2) Put x=-3

=> 9 -24+15

=> 0

Hence our answer is correct.