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 1

Write polynomial P as a product of linear factors : P(x) = x2 - 4.

Question 2

Write polynomial P as a product of linear factors : P(x) = 9x3 - 19x - 10.

Question 3

Write polynomial P as a product of linear factors : P(x) = 5x3 -2x2 + 5x - 2

Question 4

Write polynomial P as a product of linear factors : P(x) = -x3 -2x2 + 5x + 6

Question 5

Write polynomial P as a product of linear factors : P(x) = (x + 2)(20x2 + 41x + 20)

Question 6

Show that 1 and -3 are zros of polynomial P given by: P(x) = x4 + 4x3 + 6x2 + 4x - 15 and then express P as a product of linear factors.

Question 7

Show that -1 and -5 are zero of polynomial P : P(x) = x4 + 12x3 + 54x2 + 108x + 65 and express P as a product of linear factors

Question 8

Show that -2, -3 and 2 are zeros of polynomial P : P(x) = x5 + x4 + 26x2 -16x -120 and write polynomial P as a product of linear factors

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(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 + 3)(x - 1 - 3i)

More References and Links

polynomials
math questions and problems with detailed solutions .