ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 3-1

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Presentation transcript:

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 3-1 1/1/2019 ALGEBRA II HONORS/GIFTED @ REVIEW FOR TEST 3-1

Factor completely. 12x3 – 2x2 – 30x QUESTION #1 Factor completely. 12x3 – 2x2 – 30x

ANSWER TO QUESTION #1 2x(3x – 5)(2x + 3)

QUESTION #2 Factor completely. 27x3 + 8

ANSWER TO QUESTION #2 (3x + 2)(9x2 - 6x + 4)

Write a quadratic polynomial that has one root of 5 – 6i. QUESTION #3 Write a quadratic polynomial that has one root of 5 – 6i.

ANSWER TO QUESTION #3 x2 – 10x + 61 = 0

Factor completely. x3 + 5x2 – 9x - 45 QUESTION #4 Factor completely. x3 + 5x2 – 9x - 45

ANSWER TO QUESTION #4 (x + 5)(x – 3)(x + 3)

QUESTION #5 Solve by factoring. x3 – 216 = 0

ANSWERS TO QUESTION #5

QUESTION #6 Divide. (6x3 + 2x2 + 11x – 12) ÷ (3x – 2)

ALGEBRA II HONORS/GIFTED - REVIEW FOR TEST 3-1 1/1/2019 ANSWER TO QUESTION #6

Find all the zeros of P(x) = x4 – 8x2 – 8x + 15 QUESTION #7 Find all the zeros of P(x) = x4 – 8x2 – 8x + 15

ANSWERS TO QUESTION #7 1, 3, -2 + i, -2 - i

QUESTION #8 Use Descarte’s Rule of Signs to determine the possible number of positive Real, negative Real, and Imaginary zeros for : P(x) = x5 – 7x4 – 5x3 + 3x2 - 6

ANSWERS TO QUESTION #8 +R -R I 3 2 0 3 0 2 1 2 2 1 0 4

Factor completely. x4 – 3x3 – 28x2 + 36x + 144 QUESTION #9 Factor completely. x4 – 3x3 – 28x2 + 36x + 144

ANSWER TO QUESTION #9 (x – 6)(x + 2)(x + 4)(x – 3)

STUDY CHAPTER 5 Sections 1-6

S O L U T I N