Question

If α and β are zeroes of the quadratic polynomial 4x2

-5x -1, find the value of α2 β + α β2​

Answer 1

Explanation:

4x²-5x+1

-b±√(b²-4ac)/2a

5±√(5²-4(4)(1)/2(4)

5±√25-16/8

5±3/8

one root is 1 and and another root is 1/4

alpha=1 ,beta=1/4

alpha²beta+alpha beta²

1²(1/4)+(1)(1/4)²

1/4+1/8

3/8