Question

Find the quadratic polynomial whose sum and product of the zeroes are "-3" and 2 respectively​

Answer 1

Answer:

Step-by-step explanation:Answer: x2 + x – 6

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

Here

α = -3

β = 2

We know that

(1) Sum of the zeroes

⇒ α + β

⇒ -3 + 2

⇒ -1……………………………(1)

(2) Product of the zeroes

⇒ α × β

⇒ -3 × 2

⇒ -6……………………………(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 + x – 6]

When k = 1 the quadratic equation will become

x2 + x – 6