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प्रश्न
If x – 2 is a factor of 2x3 - x2 - px - 2.
with the value of p, factorize the above expression completely.
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उत्तर
Given expression is 2x3 - x2 - px - 2 and x - 2 is the factor.
Putting the value of P
(2x2 + 3x + 1)
`x - 2)overline(2x3 - x2 - 5x - 2)(`
2x3 - 4x2
- +______
3x2 - 5x
3x2 - 6x
- +_______
x - 2
x - 2
- +_____
. x
∴ 2x3 - x2 - 5x - 2 = (x - 2) (2x2 + 3x + 1)
The expression can be the written as
(2x2 + 3x + 1) (x - 2) or (2x + 1) (x + 1) (x -2).
संबंधित प्रश्न
By using factor theorem in the following example, determine whether q(x) is a factor p(x) or not.
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Use factor theorem to factorise the following polynominals completely. x3 – 13x – 12.
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If ax3 + 3x2 + bx – 3 has a factor (2x + 3) and leaves remainder – 3 when divided by (x + 2), find the values of a and b. With these values of a and b, factorise the given expression.
Determine whether (x – 1) is a factor of the following polynomials:
x3 + 5x2 – 10x + 4
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