Question

form a quadratic polynomial whose zeros are minus 3 and 5​

Answer 1

Step-by-step explanation:

Find the quadratic polynomial whose zeroes are 3 and-5?

Answer: x2 + 2x – 15

Let us assume quadratic polynomial be ax²+bx+c=0,

where a≠0 and it’s zeroes be α and β.Hereα = 3β = – 5

We know that

(1) Sum of the zeroes⇒ α + β⇒ 3 – 5⇒ – 2……………………………(1)

(2) Product of the zeroes⇒ α × β⇒ 3 × -5⇒ -15……………………………(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 – 15]

When k = 1

the quadratic equation will become X2 + 2x – 15