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Using the Factor theorem, show that (i...

Using the Factor theorem, show that
(i) (x-2) is a factor of `x^(3)-2x^(2)-9x+18`.
Hence factorise the expression `x^2-2x^2-9x+18` completely.
(ii) (x+5) is a factor of `2x^3+5x^2-28x-15`. Hence factorise the expression
`2x^3+5x^2-28x-15` completely.
(iii) (3x+2) is a factor of `3x^(3)+2x^(2)-3x-2`. Hence factorise the expression
`3x^3+2x^2-3x-2` completely.

Text Solution

Verified by Experts

The correct Answer is:
(i) (x-2) (x+3) (x-3) (ii) (x+5) (2x+1) (x-3) (iii) (3x+2) (x+1) (x-1)
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Knowledge Check

  • The expression 6x-5x^(2)-3x^(2) y is

    A
    monomial
    B
    binomial
    C
    trinomial
    D
    none of these

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