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Question
The zeroes of the polynomial 3x2 + 11x – 4 are ______.
Options
`1/3, -4`
`(-1)/3, 4`
`1/3, 4`
`(-1)/3, -4`
`-1/3, -4`
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Solution
The zeroes of the polynomial 3x2 + 11x – 4 are `underlinebb(1/3, -4)`.
Explanation:
Let be F(x) = 3x2 + 11x – 4
F(x) = 3x2 + 12x – x – 4
F(x) = 3x(x + 4) –1 (x + 4)
F(x) = (x + 4) (3x – 1)
Put both the factors equal to zero.
x + 4 = 0, x = – 4
3x – 1 = 0, x = `1/3`
The zeroes of the polynomial 3x2 + 11x – 4 are `1/3` and –4.
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