Question

A quadratic polynomial whose zeroes are -3 & 4 is

Answer 1

Answer:

X^2+3x+4

Step-by-step explanation:

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Answer 2

Answer:

x²-x-12

Step-by-step explanation:

Given that,

zeroes of the polynomial are -3 & 4.

let them be α = -3 & β = 4

the sum of the zeroes =α+β=-3+4=1

the product of the zeroes =αβ=(-3)(4)=-12

the general & standard form of quadratic polynomial is

k(x²-(α+β)x +αβ)  Where, k is any different constant

⇒k(x²-(1)x +(-12))

⇒k(x²-x-12)

let k=1 then,

⇒1(x²-x-12)

⇒x²-x-12

∴the quadratic polynomial is 'x²-x-12'.

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