Question

A quadratic polynomial, whose zeroes are -4 and -5 is ans. me fast then I will mark ur ans. as brainliest. ​

Answer 1

x^2 - (alpha+beta)x + alpha*beta
= x^2 - (-4-5)x + (-4*-5)
= x^2 + 9x + 20
Here’s your an :)

Answer 2

$\LARGE{ \underline{\underline{ \bf{Required \: answer:}}}}$

GiveN:

• The zeroes of the quadratic polynomial are -4 and -5.

To FinD:

• Find the quadratic polynomial?

Step-by-step Explanation:

Let the zeroes of the quadratic polynomial be:

• α = -4,
• β = -5

Then,

α + β = -4 + ( -5) = -9

αβ = -4 × (-5) = 20

That means,

Sum of zeroes = α + β = -9

Product of zeroes = αβ = 20

Then, the quadratic polynomial

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

= x² - (-9)x + (20)

= x² + 9x + 20

Hence,

• The required quadratic polynomial is x² + 9x + 20.