Question

If α and β are the zeroes of the quadratic polynomial p(x) = 4x2 – 5x -1, find the value of α2β + αβ2

Answer 1

Answer:

Step-by-step explanation:

α+β= -b/a

⇒ -(-5)/4

=5/4    

αβ= c/a

=-1/4

so α²β+β²α

=αβ(α+β)      (on taking α and β common)

putting value of αβ and α+β

-1/4×5/4

=-5/16

Answer 2

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