Question

If alfa and beta are zeros of quadratic polynomial such that alfa+beta=24 & alfa-beta =8,find a quadratic polynomial having alfa and beta are zeros

Answer 1

Step-by-step explanation:

explanation attached

Answer 2

AnSwEr

Taking alpha = A and Beta = B

Given

• A - B = 8
• A+B = 24

To find

• Quadratic polynomial having
• A and B are zeroes

Solution

A - B = 8_____(1)

A+B = 24_____(2)

_______

2A =32

=>A = 16

Putting values of ___(2)

=>A+B = 24

=>16+B=24

=>B=24-16

=>B=8

Quadratic polynomial form

ax² +bx + c

k{X²-X(A+B)+AB}

• (a+b)=24
• ab = 128

=>K{x²-24x+128}