Question

If x = 2 is a zero of the polynomial f(x) = 2x^2-3x + 7a, find the value of a.

Answer 1

Step-by-step explanation:

f(2)=2×2^2-3×2+7a

f(2)=8-6+7a

2+7a=0

7a=-2

a=-2/7

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Answer 2

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Given :-

(x - 2) is a factor of the polynomial

f(x) = 2x² - 3x + 7a

Have to Find out :-

What is the value of a

Explanation :-

x = 2 is the factor of the polynomial f(x) .

then ,

f(2) = 0

2(2)² - 3(2) + 7a = 0

8 - 6 + 7a = 0

2 + 7a = 0

7a = -2

a = -2/7

Result :-

value of a is -2/7 .