Question

Verify that 1 and 2 are the zeros of the polynomial p(x) = x2 – 3x + 2.
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Answer 1

Answer:

p(x)= x^2-3x+2

If 1 is a zero of p(x) then

(x-1) is a factor

f(x)= x-1

Substituting 1 in place of x

p(1)= (1)^2-3(1)+2

p(1)= 1-3+2

p(1)= 3-3

p(1)= 0

So we have verified that 1 is a zero of p(x)

Now we will check for 2

If 2 is a zero of p(x) then

(x-2) is a factor

Substituting 2 in place of x

p(2)= (2)^2-3(2)+2

p(2)= 4-6+2

p(2)= 6-6

p(2)= 0

So we have verified that 2 is a zero of p(x)

Hence we have verified that both 1 and 2 are zeroes of p(x).

Thank you

Answer 2

p(x) = x2 – 3x + 2

sol-

p(1)=1^2-3(1)+2

p(1)=1-3+2

p(1)=3-3

p(1)=0