__Questions 1:__

Write polynomial P as a product of linear factors : P(x) = x^{2} - 4.

__Questions 2:__

Write polynomial P as a product of linear factors : P(x) = 9x^{3} - 19x - 10.

__Questions 3:__

Write polynomial P as a product of linear factors : P(x) = 5x^{3} -2x^{2} + 5x - 2

__Questions 4:__

Write polynomial P as a product of linear factors : P(x) = -x^{3} -2x^{2} + 5x + 6

__Questions 5:__

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

__Questions 6:__

Write polynomial P as a product of linear factors : P(x) = x^{4} + 4x^{3} + 6x^{2} + 4x - 15

[hint: 1 and -3 are zeros of P]

__Questions 7:__

Write polynomial P as a product of linear factors : P(x) = x^{4} + 12x^{3} + 54x^{2} + 108x + 65

[hint: -1 and -5 are zeros of P]

__Questions 8:__

Write polynomial P as a product of linear factors : P(x) = x^{5} + x^{4} + 26x^{2} -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 .