# 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.

 Questions 1: Write polynomial P as a product of linear factors : P(x) = x2 - 4. Questions 2: Write polynomial P as a product of linear factors : P(x) = 9x3 - 19x - 10. Questions 3: Write polynomial P as a product of linear factors : P(x) = 5x3 -2x2 + 5x - 2 Questions 4: Write polynomial P as a product of linear factors : P(x) = -x3 -2x2 + 5x + 6 Questions 5: Write polynomial P as a product of linear factors : P(x) = (x + 2)(20x2 + 41x + 20) Questions 6: Write polynomial P as a product of linear factors : P(x) = x4 + 4x3 + 6x2 + 4x - 15 [hint: 1 and -3 are zeros of P] Questions 7: Write polynomial P as a product of linear factors : P(x) = x4 + 12x3 + 54x2 + 108x + 65 [hint: -1 and -5 are zeros of P] Questions 8: Write polynomial P as a product of linear factors : P(x) = x5 + x4 + 26x2 -16x -120 [hint: -2, -3 and 2 are zeros of P] ANSWERS TO ABOVE QUESTIONS 1) 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(x) = (x - 1)(x + 3)(x + 1 + 2i)(x + 1 - 2i) 7) P(x) = (x + 1)(x + 5)(x + 3 + 2i)(x + 3 - 2i) 8) P(x) = (x + 2)(x + 3)(x - 2)(x - 1 + 3î)(x - 1 - 3i) More math questions and problems with detailed solutions .