p(x) = x2 - 4x + 1, c = 2 - / 3 Page 10 266 Polynomial Functions In Exercises 31 - 40, you are given a polynomial and one of its zeros Use the techniques
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remainder and factor theorems to factorise and to solve polynomials that are of degree higher than 2 Examine the following division problems in algebra
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And that left me a quadratic equation I could solve (Problem 6) 6 factor theorem 4 Page 5 Problems 1
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and factor theorems to find factors of polynomials quotient remainder Exercise Find the remainders for the following:
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(Refer to page 506 in your textbook for more examples ) Example 5: Use both long and short (synthetic) division to find the quotient and remainder for the
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4 2 8 - The Factor Theorem 4 2 - Algebra - Solving Equations Leaving Certificate Mathematics Higher Level ONLY 4 2 - Algebra - Solving Equations
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Exercises: 1 Use the remainder theorem to find the remainder of the following divisions and then check your answers by long division
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Use the Factor Theorem to determine if the binomials given are factors of f(x) Use the binomials that are factors to write a factored form of f(x) 38 f(x) =
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= is substituted into a polynomial for x , and the remainder is 0, then ax ? is a factor of the polynomial 2 Using the above Theorem and your results from
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Advice to Candidates You must ensure that your answers to parts of questions are clearly labelled You must show sufficient working to make your methods
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