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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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Knowledge Check

  • If one of the zeroes of the polynomial f(x) = x^2 - 7x - 8 is - 1, then find the other zero.

    A
    7
    B
    1
    C
    8
    D
    5

  • The zeroes of the polynomial x^(2)-7 are :

    A
    `sqrt7, sqrt7`
    B
    `7, -7`
    C
    `sqrt7, -sqrt7`
    D
    None of these.

  • The zeros of the polynomial x^(2) - 2x-3 are

    A
    ` -3, 1`
    B
    ` -3, -1`
    C
    ` 3, -1`
    D
    ` 3, 1`

    • Similar Questions

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    If alpha and beta are the zeros of the polynomial 2x^(2)-7x+3. Find the sum of the reciprocal of its zeros.

    The zeros of the polynomial p(x)=2x^(2)+7x-4 are

    If one of the zero of the polynomial f (x) = x ^(2) - 7x - 8 is -1, then find the other zero .

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