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One of the zeroes of the polynomial $2 x 2 + 7 x − 4$ is

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\frac{1}{7}

\frac{1}{2}

answer is B.

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Detailed Solution

Given polynomial is

2 x 2 + 7 x − 4

.
We know the splitting technique to determine the factor.
After determining factors, make them equals to zero, to obtain the values of x.
Let,

p x = 2 x 2 + 7 x + 4 = 2 x 2 + 8 x − x − 4 = 2 x x + 4 − 1 x + 4 = 2 x − 1 x + 4

Now, make the factors equals to zero, to ascertain the values of x.
So,

2 x − 1 x + 4 = 0

Which implies,

2 x − 1 = 0 and x + 4 = 0 x = 12 and x = − 4

Hence, one of the zeros of the polynomial

p x

12 .

The correct option is (2).

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