If α and β are the zeroes of the quadratic polynomial p(x) = ax2 + bx + c then evaluate α2 β + α β2.

Given: p(x) = ax2 + bx + cSo, α2β + α β2 = αβ(α + β)

Q24 of 39 Page 91

If α and β are the zeroes of the quadratic polynomial p(x) = ax² + bx + c then evaluate α² β + α β².

Given: p(x) = ax² + bx + c

So, α²β + α β² = αβ(α + β)

If α and β are the zeroes of the polynomial 6y² – 7y + 2 Find the quadratic polynomial whose zeroes are 1/α and 1/β.

The two legs of the right triangle are equal and square of its hypotenuse is 50. Find the length of each leg?

If α and β are the zeroes of the quadratic polynomial p(x) = ax² + bx + c then evaluate α – β.

Find the value of k so that the zeroes of the quadratic polynomial 3x² – k x + 14 are in the ratio 7:6.