Question

25p2-15p+2, find a quadratic polynomial whose zeroes are 1/2alpha and1/2beta

Answer 1

Answer:

Step-by-step explanation:

Answer 2

Answer:

x² + ( 1/10 + 1/5) x + 1/10 * 1/5

Step-by-step explanation:

f (p) = 25 p²- 15 p + 2

Factorize the given equation by splitting the middle term

25 p²- 10 p - 5 p + 2

5 p ( 5 p -2) - 1 ( 5 p - 2) = 0

( 5 p -1 ) ( 5 p - 2) = o

now one of the root is that is alpha 1/5

and beta 2/5.

Quadratic equation whose roots are

1/2 * 1/5 = 1/10

beta 2/5 * 1/2 = 1/5

Now,

x² + ( alpha + beta) x + alpha * beta

x² + ( 1/10 + 1/5) x + 1/10 * 1/5

x² + ( 1/10 + 1/5) x + 1/10 * 1/5