Question

find the quadratic polynomial if the zeroes are -2,5​

Answer 1

Answer:

x2+7x+10 okkkk

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Answer 2

Given :-

• Zeroes of Quadratic equation = -2, 5

To find:

Quadratic polynomial = ?

Solution:

• First find the sum of zeroes.

Sum of zeroes = 5 + (-2)

⇒ Sum of zeroes = 5 - 2

⇒ Sum of zeroes = 3

• Next, find the product of zeroes.

Product of zeroes = 5 (-2)

⇒ Product of zeroes = -10

Quadratic equation = x² - (α + β)x + αβ

⇒ Quadratic equation = x² - 3(x) + (-10)

⇒ Quadratic equation = x² - 3x - 10

∴ The Quadratic polynomial = x² - 3x - 10

KNOW MORE:

• Always any quadratic equation can be represented as ax² + bx + c = 0 where a, b, c are the coefficients.
• Sum of zeroes = -b/a
• Product of zeroes = c/a