factorise p(x) = x² - 4x + 3 , find the zeroes of the polynomial and compare with their coefficients
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Answer:
x²-4x+3
=x²-3x-x+3
=x(x-3)-1(x-3)
x-1=0
x=1
x-3=0
x=3
When f(1)
∴ 1²-4(1)+3
= 1-4+3
= 4-4
= 0
When f(3)
∴ 3²-4(3)+3
= 9-12+3
= 12-12
= 0
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