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| Summary |
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 Polynomial |
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| An algebraic expression of the form a0+a1x+a2x2+….+anxn where |
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| a0, a1, a2,….an are real numbers, n is a positive integer is called a polynomial in x. |
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 Methods of factorising polynomials |
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| There are various methods of factorising a polynomial. They are, |
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 Factorisation by dividing the expression by the HCF of the terms of |
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| the given expression. |
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 Factorisation by grouping the terms of the expression. |
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 Factorisation using identities. |
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 Remainder theorem |
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| If f(x) is a polynomial in x and is divided by x-a; then the remainder is |
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| is the value of f(x) at x = a i.e., remainder = f(a). |
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 Factor theorem |
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| If p(x) is a polynomial in x and is divided by and the remainder = f(a) is zero then (x-a) is a factor of p(x). |
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