Question

verify whether 2 and 1 are zeroes of the polynomial x square-3x+2
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Answer 1

Let p(x)=x

2

−3x+2

Replace x by 2

p(2)=(2)

2

−3(2)+2

=4−6+2=0

Also replace x by 1

p(1)=(1)

2

−3(1)+2

=1−3+2

=0

Hence, both 2 and 1 are zeroes of the polynomial x

2

−3x+2.

It is a quadratic polynomial. Hence, a quadratic polynomial has two zeroes

Answer 2

Answer:

x^2-3x+2=0

=> x^2-2x-x+2=0

=> x(x-2)-1(x-2)=0

=> (x-2)(x-1)=0

=> x-2=0

=> x=2

again x-1=0

=> x=1

so, x=2, 1