Question

write the polynomial the sum and product of who's zeroes are -3/2 and -9/2​

Answer 1

Answer:

Explanation:

Given :

• Sum of zeroes (α + β) = -3/2
• Product of zeroes (αβ) = -9/2

To Find :

• Quadratic polynomial.

Formula to be used :

• Quadratic polynomial = x^2 - (α+β)x + (αβ)

Solution :

★Quadratic polynomial,

x^2 - (α+β)x + (αβ)

⇒x^2 - (-3/2)x + (-9/2)

⇒x^2 + 3/2x -9/2

⇒2x^2 + 3x - 9

Hence, quadratic polynomial is 2x^2 + 3x - 9.

Answer 2

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Quadratic polynomial = x² - (sum of zeros) + (product of zeros)

→ Quadratic polynomial = x² - (-3/2)x + (-9/2)

→ Quadratic polynomial = x² + 3/2x -9/2

→ Quadratic polynomial = 2x² + 3x - 9

Hence, the Quadratic polynomial is 2x² + 3x - 9.