Question

find the quadratic polynomial whose zeros are 2 and -6 .verify relation between the coefficient and zeros of the polynomial

Answer 1

Hi friend ,

Sum of zeros = 2+(-6) = 2-6 = -4
Product of zeros = 2×-6 = -12

Quadratic polynomial:
x^2-( sum of zeros )x + Product of zeros
x^2 -(-4)x +(-12)
x^2 +4x-12

Relation between the coefficient and the zeros of the polynomial:
• Sum of zeros = -b/a
= -4/1
= -4
= -4

• Product of zeros = c/a
= -12/1
= -12
= -12

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Hope this helped u..

Answer 2

Hey !!

Sum of zeros =  2 + -6 =  -4
Product of zeros = 2× [-6] = -12

Quadratic polynomial:-
x² ( sum of zeros )x + Product of zeros
x² -(-4)x +(-12)
x² +4x-12

Relation between the coefficient and the zeros of the polynomial:
 Sum of zeros = -b/a
                       = -4/1 = -4

 Product of zeros = c/a
                             = -12/1
                              = -12