Question

2) Prove that 4 and 1 are the zeros of the quadratic polynomial p(x) = x2 – 5x+4. Also verify the
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Answer 1

Answer:

P(x)=x

2

−5x+4

=x

2

−4x−x+4

=x(x−4)−(x−4)

=(x−1)(x−4)

∴zerosofp(x)arex=1andx=4

sumofzeros=1+4=5=−((

coefficientofx

2

coefficientofx

))

productofzeros=1×4=((

coefficientofx

2

constantterm

))

hence verified