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Question

Find the sum and product of the zeroes polynomial 6x245x [2 MARKS]


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Solution

Zeros : 1 Mark
Sum of zeros : 0.5 Mark
Product of zeros : 0.5 Mark

Given polynomial is,

6x245x

=6x25x4 [Arranging them in the standard form]

=6x28x+3x4

=2x(3x4)+1(3x4)

=(2x+1)(3x4)

For the zeroes,

2x+1=0x=12

3x4=0x=43

Their sum and product is,

α+β=12+43=56

αβ=12×43=23


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