Math Questions With Answers (11): Factor Polynomials
More Math questions on factoring polynomials are presented. Answers to these questions are located at the lower part of the page.
Question 1Write polynomial P as a product of linear factors : P(x) = x^{2}  4.
Question 2Write polynomial P as a product of linear factors : P(x) = 9x^{3}  19x  10.
Question 3Write polynomial P as a product of linear factors : P(x) = 5x^{3} 2x^{2} + 5x  2
Question 4Write polynomial P as a product of linear factors : P(x) = x^{3} 2x^{2} + 5x + 6
Question 5Write polynomial P as a product of linear factors : P(x) = (x + 2)(20x^{2} + 41x + 20)
Question 6Show that 1 and 3 are zros of polynomial P given by: P(x) = x^{4} + 4x^{3} + 6x^{2} + 4x  15 and then express P as a product of linear factors.
Question 7Show that 1 and 5 are zero of polynomial P : P(x) = x^{4} + 12x^{3} + 54x^{2} + 108x + 65 and express P as a product of linear factors
Question 8Show that 2, 3 and 2 are zeros of polynomial P : P(x) = x^{5} + x^{4} + 26x^{2} 16x 120 and write polynomial P as a product of linear factors
ANSWERS TO ABOVE QUESTIONS1) P(x) = (x  2)(x + 2)2) P(x) = (x + 1)(3x + 2)(3x  5) 3) P(x) = (x + i)(x  i)(5x  2) 4) P(x) = (x + 1)(2  x)(x + 3) 5) P(x) = 20(x + 2)(x + 5/4)(x + 4/5) 6) P(1) = 0 , P(3) = 0 P(x) = (x  1)(x + 3)(x + 1 + 2i)(x + 1  2i) 7) P( 1) = 0 , P( 5) = 0 P(x) = (x + 1)(x + 5)(x + 3 + 2i)(x + 3  2i) 8) P( 2) = 0 , P(3) = 0 , P(2) = 0 P(x) = (x + 2)(x + 3)(x  2)(x  1 + 3î)(x  1  3i) More References and Linkspolynomialsmath questions and problems with detailed solutions .
