Question

find the quadratic polynomial whose zeroes are 3 and -2​

Answer 1

Step-by-step explanation:

Given,

Let 1 zero be Alpha = 3

Let other zero be Beta = -2

So,

Sum of zeores = alpha + beta = 3 + (-2) = 3 - 2 =1

Product of zeroes = alpha x beta = 3 x (-2) = -6

For quadratic eq.

Using formula,

x^2 -(alpha + beta) x + (alpha x beta)

x^2 - (1) x + (-6)

x^2 - x - 6 = 0 --------eq.

Ans...

Answer 2

★ Given :-

Zeroes:

• α = 3,
• β = -2

★ To find :-

Quadratic polynomial = ?

★ Solution :-

For finding the quadratic polynomial,

We need to find the sum and product of zeroes.

Sum of zeroes = α + β

➝ Sum of zeroes = 3 - 2

➝ Sum of zeroes = 1

Product of zeroes = αβ

➝ Product of zeroes = 3(-2)

➝ Product of zeroes = -6

Now, for finding the polynomial,

Required polynomial = x² - (α + β)x + αβ

⇨ Required polynomial = x² - (1)x + (-6)

∴ Required polynomial = x² - x - 6

Know more:

• A quadratic polynomial is a type of polynomial where the highest exponent is 2.