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**Unformatted text preview: **f(x) , is divided by x – a, the remainder is equal to f ( a ) . When a polynomial, f(x) , is divided by a x – b, the remainder is equal to a b f . If the remainder is equal to zero , then x – a is a factor of f(x) . A polynomial f(x) has x – a as a factor if and only if f(a) = 0. Meaning…? “if and only if” means the following… • if x – a is a factor of f(x), then f(a) = 0 • if f(a) = 0, then x – a is a factor of f(x) MHF 4U0 3.6 Factoring Polynomials Example #3: (a) Factor f(x) = 2 x 3 – 3 x 2 – 5 x + 6. (b) Sketch the graph of the function using the factored form. Example #4: If P(x) = m x 3 + g x 2 – x + 3 is divided by x + 1, the remainder is 3. When P(x) is divided by x + 2, the remainder is –7. What are the values of m and g ? Assigned Work: page 176 #3, 4cd, 5c, 6be, 7be, 8be, 10, 14 Pg. 3/3...

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