POLYNOMIALS Introduction You have studied algebraic expressions, their addition, subtraction, multiplication and division in earlier classes. You also have studied how to factorise some al
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Polynomials in One Variable Let us begin by recalling that a variable is denoted by a symbol that can take any real value. We use the letters x, y, z, etc. to denote variables. Notice that 2
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Zeroes of a Polynomial Consider the polynomial p(x) = \(5{{x}^{3}}-2{{x}^{2}}+3x-2\) If we replace x by 1 everywhere in p(x), we get \( \begin{align} & p\left( 1 \right)=5\times
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Factorisation of Polynomials Let us now look at the situation of Example 10 above more closely. It tells us that since the remainder, \(\left( q-\frac{1}{2} \right)= 0\), (2t + 1) is a factor
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Algebraic Identities From your earlier classes, you may recall that an algebraic identity is an algebraic equation that is true for all values of the variables occurring in it. You have studied th
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