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Q1. f(x) = x³ + x² 12x - 18 (a) Use the factor theorem to show that (x + 3) is a factor of f(x). (b) Factorise f(x). (c) Hence find exact values for all the solutions of the equation f(x) = 0

Q1. f(x) = x³ + x² 12x - 18 (a) Use the factor theorem to show that (x + 3) is a factor of f(x). (b) Factorise f(x). (c) Hence find exact values for all the solutions of the equation f(x) = 0

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 52HP
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Questions Q1. (a) Use the factor theorem to show that (x + 3) is a factor of f(x). (b) Factorise f(x). f(x) = x³ + x² 12x18 (c) Hence find exact values for all the solutions of the equation f(x) = 0 Q2. Answer this question without the use of a calculator and show all your working. (i) Show that (ii) Show that 4 2√2- √6 2√√2(2+√3) $3 √√27+ √21x√7-. = 8√3
Transcribed Image Text:Questions Q1. (a) Use the factor theorem to show that (x + 3) is a factor of f(x). (b) Factorise f(x). f(x) = x³ + x² 12x18 (c) Hence find exact values for all the solutions of the equation f(x) = 0 Q2. Answer this question without the use of a calculator and show all your working. (i) Show that (ii) Show that 4 2√2- √6 2√√2(2+√3) $3 √√27+ √21x√7-. = 8√3
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