Question

Find a quadratic polynomial whose zeroes are 5 and -2.

Answer 1

Answer:

x^2 - 3x - 10

Step-by-step explanation:

x^2 - (α+β)*x + αβ

α = 5

β = -2

x^2 - (5-2)*x + 5*-2

= x^2 - 3x - 10

Answer 2

Given :

• Zeroes of a quadratic polynomial as 5 and -2.

To Find :

• The quadratic polynomial.

Solution :

As we know that

Formula for finding a quadratic polynomial is

• x² - (sum of zeroes)x + product of zeroes

Sum of zeroes :

→ α + β

→ 5 + (-2)

→ 3

Product of zeroes :

→ α × β

→ 5 × (-2)

→ -10

Put the values in the formula

→ x² - (α + β)x - α × β

→ x² - (3)x - (-10)

→ x² - 3x + 10

Hence,

• The quadratic polynomial is x² - 3x + 10.