Question

Write an quadric Polynomial and prepare 2 questions on it

Answer 1

Answer:

Write the quadratic polynomial whose zeroes are 2, - 4.

Answer: x² + 2x–8

Let the assume quadratic polynomial be ax²+bx+c=0, where a≠0 and it’s zeroes be α and β.

Here

α = 2

β = -4

We know that

(1) Sum of the zeroes

⇒ α + β

⇒ 2 – 4

⇒ -2……………………………(1)

(2) Product of the zeroes

⇒ α × β

⇒ 2 × -4

⇒ -8……………………………(2)

∴ The quadratic polynomial ax²+bx+c is k[x2 – (α + β)x + αβ]

Where k is constant.

k[x2 – (α + β)x + αβ]

From equation (1) and (2) we get

⇒ k[x2 + 2x -8]

When k = 1 the quadratic equation will become

x2 + 2x -8