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Question

Factorize 3x2(331)x3 and verify relationship between the zeroes and the coefficients. [2 MARKS]

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Solution

Factorisation : 1 Mark
Verification : 1 Mark

Given polynomial is,

3x2(331)x3

=3x233x+x3

=3x(x3)+1(x3)

=(x3)(3x+1)

So the zeroes are,

x3=0x=3

3x+1=0x=13

For verification,

α+β=13+3=3313=ba

αβ=13×3=13=ca


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