Question

find the quadratic polynomial whose sum and product of zeros are -1/3 and 1/4 respectively​

Answer 1

Answer:

-1/

Step-by-step explanation:

Let zeros be (α,β)

α+β=

a

−b

=1

αβ=

a

C

=−4

Polynominal is ax

2

+bx+C=0⇒x

2

+

a

bx

+

a

C

=0

x

2

−x−4=0.

Answer 2

Answer:

Quadratic polynomial=12x²+4x+3

Step-by-step explanation:

α+β=(-⅓), αβ=¼

Quadratic polynomial

=x²-(α+β)x+αβ

=x²-(-⅓)x+¼

=x²+⅓x+¼

Multiple each term by 12

=x²×12+⅓×12x+¼×12

=12x²+4x+3