A worksheet on factorising cubic polynomials using the factor theorem. Solutions are included.
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Using Division and the Factor Theorem to Factor Polynomials Worksheets (with solutions)
A collection of three worksheets on the following topics: * Dividing polynomials using long division * Using division to factor polynomials * Factorising a polynomial using the factor theorem In the first worksheet, students are required to perform long division for some given pairs of polynomials. In the second worksheet, students must use polynomial division to find the remaining linear factors of a polynomial, given one of its factors. In other exercises, students must find a polynomial using multiplication given all its factors, find the highest common factor of given algebraic expressions and find missing terms in factorized expressions. In the third worksheet, students are required to check whether a given polynomial is a factor of another polynomial by using the factor theorem and then in some other exercises they are required to factor cubic polynomials by first finding one of its linear factors (by checking given polynomials or inspecting using the factor theorem) and then using long division to find the remaining linear factors. Detailed solutions are included.
£3.95
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Algebraic fractions, factor and remainder theorem worksheets (with solutions)
Three worksheets. One on simplifying algebraic fractions by factoring the numerator and denominator (when needed) and canceling the common factors, one on factorising cubic polynomials using the factor theorem and one on using the remainder theorem to find the remainder when a polynomial is divided by a linear polynomial. Solutions are included.
£3.75
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