Question

The quadratic polynomial, the sum and product of whose zeroes are -3 and 2 is:
(a) x2 – 3x+2 (6) x² + 3x – 2 (c) x² + 3x + 2 (d) none of the these.
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Answer 1

Answer:-

The Required Polynomial is x² + 3x + 2, i.e. Option (c).

Explanation:-

Given:-

• Sum of zeroes = -3.
• Product of zeroes = 2.

ToFind:-

• The Quadratic Polynomial.

Concept used:-

• Every quadratic equation is in the form of,

↦ k[x²-(Sum of zeroes)x+Product of zeroes].

Where k is constant.

So Here,

• Sum of zeroes = -3.
• Product of zeroes = 2.

Therefore The Required Polynomial is,

↦ k [x² - (Sum of zeroes)x + Product of zeroes].

↦ x² - (-3)x + 2.

(As k is constant).

↦ x² + 3x + 2.

So The Required Polynomial is x² + 3x + 2.

Therefore Option (c) is the final answer.