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54. Find a polynomial equation of least degree with roots -3, 0, and 3. A²+²+3x-9-0 C. x² +9x=0 B.x²+x²-3x-9-0 1910

54. Find a polynomial equation of least degree with roots -3, 0, and 3. A²+²+3x-9-0 C. x² +9x=0 B.x²+x²-3x-9-0 1910

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.7: Factoring Pattern For X2+bx+c, C Positive
Problem 22OE
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Sol Use the Remainder Theorem to find the remainder when 2x³ +³ + 3x + 7 is divided by a +2. State whether the binomial is a factor of the polynomial .D. -11; yes A. 25; yes B. -11; no C. 33; no 51. Solve ³-10x1576 by completing the square. A. 45,-35 50₁ À 52. Use synthetic division to divide A.x²-3x+8R-7 C. x² + 3x +8 R9 54. 57 B. 5 16V7 C. -6 16V7 D. 36, -45 53. Find the number of possible negative real zeros for f(x) = x³ + 2x² + x d. A. 3 B. 2 or 0 C. 3 or 1 D. 1" 55. - 2x² + 5x + 1 by -1. B.-x+4R-3 D.-x+4 R5 Find a polynomial equation of least degree with roots -3, 0, and 3. A ²+²+3x-9=0 C. x³ + 9x=0 B.x²+x²-3x-9-0 D. F²19x10 Solve 16x16x³-32x+36x-9=0. * B. 4. 1 B. 1.1 0..1 So. Last the possible rational roots of 2x-x²-8-0. A 21, 22, 23, 2, 3, 4 B. ±1,±2,±3,±4, ±6, ±12,市場 C. 1, 3, 2, D. #1, #2, 28, 42, + Determine the rational roots of 3x³ +7²+x-2=0. A. 2, B. -2, C. 2 D. -2 58 Find the value of k so that the remainder of (+ 5x² - 4x + k) + (z+5) is 0 A. -230 <-20 C. 54 D. 20
Transcribed Image Text:Sol Use the Remainder Theorem to find the remainder when 2x³ +³ + 3x + 7 is divided by a +2. State whether the binomial is a factor of the polynomial .D. -11; yes A. 25; yes B. -11; no C. 33; no 51. Solve ³-10x1576 by completing the square. A. 45,-35 50₁ À 52. Use synthetic division to divide A.x²-3x+8R-7 C. x² + 3x +8 R9 54. 57 B. 5 16V7 C. -6 16V7 D. 36, -45 53. Find the number of possible negative real zeros for f(x) = x³ + 2x² + x d. A. 3 B. 2 or 0 C. 3 or 1 D. 1" 55. - 2x² + 5x + 1 by -1. B.-x+4R-3 D.-x+4 R5 Find a polynomial equation of least degree with roots -3, 0, and 3. A ²+²+3x-9=0 C. x³ + 9x=0 B.x²+x²-3x-9-0 D. F²19x10 Solve 16x16x³-32x+36x-9=0. * B. 4. 1 B. 1.1 0..1 So. Last the possible rational roots of 2x-x²-8-0. A 21, 22, 23, 2, 3, 4 B. ±1,±2,±3,±4, ±6, ±12,市場 C. 1, 3, 2, D. #1, #2, 28, 42, + Determine the rational roots of 3x³ +7²+x-2=0. A. 2, B. -2, C. 2 D. -2 58 Find the value of k so that the remainder of (+ 5x² - 4x + k) + (z+5) is 0 A. -230 <-20 C. 54 D. 20
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