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Question

Find a quadratic polynomial, whose zeroes are -3and4.


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Solution

Finding the quadratic equation:

If αandβ are the roots of a quadratic equation, then that equation can be written as:

x2-α+βx+αβ=0 …(1)

Here, x is a variable.

It is given that α=-3andβ=4, then the quadratic equation can be found by substituting the values of αandβ in equation (1):

x2--3+4x+4-3=0x2-x-12=0

Final Answer:

Hence, the quadratic equation, whose roots are -3and4 is x2-x-12=0.


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