Math Questions With Answers (11)

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 + 3)(x - 1 - 3i)

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