Question

If zeroes of quadratic polynomial are - 2 and 4, what is a quadratic polynomial ?​

Answer 1

Answer:

x^2-2x-8

hope it will help you

Answer 2

Given :-

• The zeroes of quadratic polynomial are - 2 and 4.

To Find :-

• What is quadratic polyniomial.

Answer :-

• p(x) = k ❲x² - 2x - 8❳

Explaination :-

Given that, -2 and 4 are the zeroes quadratic polyniomial.

• Where α = -2 and β = 4

➻ Sum of zeroes = α + β

➻ Sum of zeroes = -2 + 4

➻ Sum of zeroes = 2

Now,

⋙ Product of zeroes = αβ

⋙ Product of zeroes = -2 × 4

⋙ Product of zeroes = -8

So, quadratic polyniomial is :

⋗ p(x) = k ❲x² - (Sum of zeroes)x + Product of zeroes❳

⋗ p(x) = k ❲x² - (2)x + (-8)❳

⋗ p(x) = k ❲x² - 2x - 8❳