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Question

Factorize z2+33z12 and verify the relationship between zeroes and coefficient [2 MARKS]


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Solution

Factorisation : 1 Mark
Verification : 1 Mark

Given polynomial is,

z2+33z12

=z2+43z3z12

=(z+43)(z3)

So the zeroes are,

z+43=0z=43

z3=0z=3

For verification,

α+β=43+3=33=ba

αβ=12=ca


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