Math III Multiplying Polynomials and Factored Form Name ___________________ – Factoring Review: Factor: x2 + 4x - 12 ________________ and _________________are the linear factors. Example 1: Write a polynomial in Standard Form: a) (x + 1)(x + 2)(x + 3) ) b) x(x - 1)(x + 3)(x + 4) Example 2: Write a Polynomial in Factored Form: (Hint: Look for a GCF first!) a) 2x3 + 10x2 - 12x b) 3x3 - 18x2 + 24x To your answer on the calculator: Graph the original problem. Graph your answer. If the graphs are the same, your answer is correct. Example 3: Factors of higher degree: Factor x4 6x2 27 – – ( x² - 9 ( x² + 3 ) FOIL this. Does it work? Keep going if possible! (x + 3 ) (x 3 ) ( x2 + 3 ) – You Try: x4 29x2 + 100 b) m4 + 7m2 - 18 –
Math III – Multiplying Polynomials and Factored Form Name ___________________ Factoring Review: Factor: x2 + 4x - 12 ________________ and _________________are the linear factors. Example 1: Write a polynomial in Standard Form: a) (x + 1)(x + 2)(x + 3) b) x(x - 1)(x + 3)(x + 4) Example 2: Write a Polynomial in Factored Form: (Hint: Look for a GCF first!) a) 2x3 + 10x2 - 12x b) 3x3 - 18x2 + 24x To your answer on the calculator: Graph the original problem. Graph your answer. If the graphs are the same, your answer is correct. Example 3: Factors of higher degree: Factor x4 – 6x2 – 27 ( x² - 9 ) ( x² + 3 ) FOIL this. Does it work? Keep going if possible! (x + 3 ) (x – 3 ) ( x2 + 3 ) You Try: x4 – 29x2 + 100 b) m4 + 7m2 - 18
day_02_standard_and_factored_form.docx