Lesson 5-6 Given a polynomial and one of its factors, find the remaining factors of Skills Practice The Remainder and Factor Theorems 5-6
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What is the value of v(10)? Word Problem Practice The Remainder and Factor Theorems 5-6 -16t2 +
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(x4 - 3x3 – 15x2 + 19x + 30) + (x - 5) 6 (x3 - 8x2 – 29x + 180) = (x-10) Use the Factor Theorem to determine if the binomials given are factors of f(x)
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5-6 Skills Practice The Remainder and Factor Theorems L Use synthetic substitution to find f(2) and f(-1) for each function 1,1x) = x2 + 6x + 5
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2-3 Practice *EVENS E C #15 The Remainder and Factor Theorems Divide using long division 5 (x2 – 3x8 – 15x2 + 19x + 30) + (x – 5) 6
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The Remainder Theorem states that f(2) will be equal to 65 Try it f(2)= (2)3+2(2)2-6(2)-9 f+8-12-9 = 16-12-a = 4-9 = -5 - it works Factor Theorem:
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So, -3x + 15x² + 108x – 540 = (x - 6)(-3x² – 3x +90) Factoring the quadratic expression yields –3x2 + 15x + 108x – 540 = -3(x – 6)(x + 6)(x – 5
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T NAME Answer key _DATE__ PERIOD 6-7 Skills Practice The Remainder and Factor Theorems Use synthetic substitution to find f(2) and f(-1) for each
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Next, take the 2 from the divisor and multiply by the 1 that was 'brought down' to get 2 Write this underneath the 4, then add to get 6 2 1 4 -5 -14 + 2 1
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5-6 The Remainder and Factor Theorems Sample answer: No; the graph of the function has Sample answer: When x = 1, f (1) is the sum of all of
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