Question

Find a quadratic polynomial whose zeroes are -3 and 7


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Answer 1

Answer:

• The Quadratic Polynomial is x² - 4x - 21.

Step-by-step explanation:

Given,

• The zeroes of a quadratic polynomial are -3 and 7.

To Find,

• The quadratic polynomial.

Solution,

α = -3 •••(Given)

ß = 7 •••(Given)

The Quadratic Polynomial = x² - (Sum of zeroes)x + (Product of zeroes)

→ p(x) = x² - (α + ß)x + (αß)

→ p(x) = x² - (-3 + 7)x + [(-3)(7)]

→ p(x) = x² - (4)x + (-21)

→ p(x) = x² - 4x - 21

Required Answer,

• The Quadratic Polynomial is x² - 4x - 21.