# Find a Quadratic Polynomial Whose Zeroes are -3 and 4

A quadratic polynomial is of the form f(x) = ax^{2}+bx+c and a ≠ 0

## Answer: x^{2} - x - 12 is the Quadratic Polynomial Whose zeroes are -3 and 4

Let us see, how to solve it.

**Explanation:**

A quadratic polynomial in terms of the zeroes (α,β) is given by

x^{2} -(sum of the zeroes) x + (product of the zeroes)

i.e, f(x) = x^{2} -(α +β) x +αβ

Now,

Given that zeroes of a quadratic polynomial are -3 and 4

Let α = -3 and β= 4

Therefore, substituting the value α = -3 and β= 4 inf(x) = x^{2} -(α +β) x +αβ, we get

f(x) = x^{2} - ( -3 + 4) x +(-3)(4)

= x^{2} - x -12

### Thus, x^{2} - x -12 is the quadratic polynomial whose zeroes are -3 and 4.

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