Question

find the zeroes of the quadratic polynomial given below. find the sum and product of the zeroes and verify relationship to the coefficients of terms in the polynomial.
1.P of x= x square _ x_6.​

Answer 1

Answer:

ANSWER

p(x)=x

2

−x−6

=x

−3x+2x−6

=x(x−3)+2(x−3)

=(x−3)(x+2)

=(x−3)(x+2)

∴ The value of p(x) is zero when x=3 or x=−2

∴ Sum of the Zeroes =3−2=1 =−

1

−1

=

coefficientofx

2

coefficientofx

=−

a

b

∴ Product of zeroes =3×(−2)=−6=

1

−6

=

a