Question

II. Solve the following questions. Each question carries 2 marks :-
8. If 2 is zero of the polynomial p(x) = 2x2 – 3x + 7a then find the value of a.
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Answer 1

Answer:

p(x)=2x²-3x+7a.

x=2.

p(2)=2(2)²-3(2)+7a.

=2(4)-6+7a.

=8-6+7a.

7a=-8+6.

7a=-2. (Because -×+=- & largest number is important).

a=-2/7.

p(x)=2x²-3x+7(-2/7).

=2x²-3x-2. (Because +×-=-).

p(2)=2(2)²-3(2)-2.

=2(4)-6-2.

=8-6-2.

=2-2. (Because +×-=- & largest number is important).

=0.