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One of the zeroes of the polynomial ...

One of the zeroes of the polynomial ` 2x^(2)+7x-4` is

A

2

B

`(1)/(2)`

C

`-(1)/(2)`

D

`-2`

Text Solution

Verified by Experts

The correct Answer is:
B
Let ` p(x) =2x^(2)+7x-4`
`=2x^(2)+8x-x-4`
`=2x(x+4)-1(x+4)`
`=(2x-1)(x+4)`
For zeroes Of `p(x)` . Put `p(x)=0`
`therefore " " (2x-1)(x+4)=0`
`implies 2x-1=0 and x+4=0`
`implies x=(1)/(2) and x=-4`
Hence , one of the zeroes of the polynomial `p(x) "is" (1)/(2)`
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