Question

If α and β are the zeroes of the quadratic polynomial p(x) = 4x² - 5x + 1, then find the value of α2β+β2α.​

Answer 1

Answer:

5/16

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