Factoring Completely

Answers

This page shows the final answer to each problem. You may return to the Worksheet Page to quiz yourself or have your answers checked automatically. If you would like assistance with a particular problem, click the " step-by-step" link for an in depth solution.

1	x³ + -1x
1	Answer x(x + -1)(x + 1)
	step-by-step

2	x³ + 5x² + 6x
2	Answer x(x + 2)(x + 3)
	step-by-step

3	4y² + -8y + -60
3	Answer 4(y + 3)(y + -5)
	step-by-step

4	3q² + -12q + 12
4	Answer 3(q + -2)(q + -2)
	step-by-step

5	3m³ + 33m² + 90m
5	Answer 3m(m + 5)(m + 6)
	step-by-step

6	4x² + 8xy + 4y²
6	Answer 4(x + y)(x + y)
	step-by-step

7	4kx² + -4ky²
7	Answer 4k(x + y)(x + -1y)
	step-by-step

8	m⁴ + -1
8	Answer (m + 1)(m + -1)(m² + 1)
	step-by-step

9	p⁴ + -2p² + 1
9	Answer (p + -1)(p + 1)(p + 1)(p + -1)
	step-by-step

10	abc² + 6abc + 5ab
10	Answer ab(c + 1)(c + 5)
	step-by-step

11	24x² + 68x + 48
11	Answer 4(2x + 3)(3x + 4)
	step-by-step

12	4x²y + 12xy² + 9y³
12	Answer y(2x + 3y)(2x + 3y)
	step-by-step

13	3mx² + -5mx + -28m
13	Answer m(3x + 7)(x + -4)
	step-by-step

14	21k + -98k² + -343k³
14	Answer 7k(1 + -7k)(3 + 7k)
	step-by-step

15	4p⁴ + -5p² + 1
15	Answer (2p + 1)(2p + -1)(p + 1)(p + -1)
	step-by-step

16	36r⁴ + 29r² + -20
16	Answer (3r + 2)(3r + -2)(4r² + 5)
	step-by-step

17	108s⁶ + 42s⁴ + -6s²
17	Answer 6s²(3s + 1)(3s + -1)(2s² + 1)
	step-by-step

18	144uv⁴ + -388uv² + 144u
18	Answer 4u(2v + 3)(2v + -3)(3v + 2)(3v + -2)
	step-by-step

19	6m³n + -9m²n² + -15mn³
19	Answer 3mn(m + n)(2m + -5n)
	step-by-step

20	2p³x + p²x + -28px
20	Answer px(p + 4)(2p + -7)
	step-by-step

Factoring Completely

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