Question

Find the quadinatic polynomial the sum and product of whose zeroes are -3 and -7

Answer 1

AnswEr :-

• The quadratic polynomial is x² +3x - 7.

Given :-

• Sum of zeroes (α+β) = -3

• Product of zeroes(α×β) = -7

To Find :-

• The quadratic polynomial.

SoluTion :-

• We know that the formula for finding the

quadratic equation is

» P(x) : x² - (sum of zeroes) x + product of zeroes

→ x² - (α+β) x + (α×β)

→ x² - (-3) x + (-7)

→ x² + 3x - 7

Hence, the quadratic polynomial is x² + 3x - 7.

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