Question

find the quadratic polynomial each with the number given below as sum and product of its zeroes respectively (1) 3/5, -2/5​

Answer 1

Step-by-step explanation:

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

=

coefficient of x

2

coefficient of x

=−

a

b

∴ Product of zeroes =3×(−2)=−6=

1

−6

=

a

c