Question

Find the quadratic polynomial whose zeroes are -3 and 4

Answer 1

Answer:

x²-x-12

Step-by-step explanation:

(x+3)(x-4)

= x² - 4x + 3x -12

= x² - x -12

Answer 2

Answer:

x^2 - x -12

Step-by-step explanation:

Given ::-

α = -3

β = 4

To find - quadratic polynomial

Solution-

α + β = -3 + 4

α +β= 1

αβ = (-3)(4)

αβ = -12

General formula ::-

x² -(α+β)x + (αβ)

Putting values of α+ β. and αβ

x²-(1)x + (-12)

= x² -x -12

So, the required quadratic polynomial is x²-x-12 = 0

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