Quiz on Factoring:

Hint:

Look for Factors first:

Then common factor:

Quiz Practice:

1. 6x + 2
2. 5x2 + x
3. 15y -20y4
4. -2x5 + 4x4
5. 13h2 -13h
6. a4 – a3 + a2
7. 6s + 15s4 -21s8
8. 14z6 – 35z9 - 42z4  (divide
9. 9p3 +27p5 -6p10 + 12p12
10. -20q8 -8q20 – 40q12 –80q10

Factor each expression:

1. 6x + 2
1. 6: 1, 2, 3, 6
2. 2: 1, 2

Solution: (6x / 2 = 3x) (2 / 2 = 1)

1. 5x2+ x
1. 5 is composite number (1, 5)
2. x is the common factor

1. 15y -20y4
1. 15y: 1, 3, 5, and 15
2. 1, 2, 4, 5, 10, and 20
3. Y is the common factor and 5

1. -2x5 + 4x4
1. Factor of -2: -1, and -2
2. Factor of  4: 1, 2, and 4
3. Common factor: x4 is divisorable out of x5
4. 2x4: -2x5 + 2x4 = -x = 2

1. 13h2-13h
1. 1, 13 factor
2. H is the common fact
3. 1, 2 exponent and the lowest exponent is 1

Answer: 13h(h – 1) = 13h2 -13h

1. a4 – a3 + a2
1. a is the common factor
2. the factor of exponent 4 is 1, 2, 4
3. the factor of exponent 3 is 1, 3
4. the factor of exponent 2 is 1, 2
5. lowest exponent will be a2

Answer:  a2 (a2 – a + 1)

1. 6s + 15s4 -21s8
1. 6: 1, 2, 3, and 6 9
2. 15: 1, 3, 5, and 15
3. 18: 1, 2, 3, 6 9, and 18
4. S is common factor
5. Exponent is 2

Answer: 3s(2 + 5s3 – 7s7)

1. 14z6 – 35z9 - 42z4  (divide
1. Factor 14: 1, 2, 7, and 14
2. Factor 35: 1, 5, 7,  and 35
3. Factor 42: 1, 2, 3, 6, 7, and  42
4. Z is the common factor
5. Lowest exponent is 4 (factor)

Answer: 7z4(2z2 – 5z5 – 6) (14z6 – 35z9 – 42z4)

1. 9p3 +27p5 -6p10 + 12p12
1. Factor 9: 1, 3, and 9 (multiplication)
2. Factor of 27: 1, 3, 9
3. Factor of 6: 1, 2, 3, and 6
4. Factor of 12: 1, 2, 3, 4, 6, and 12
5. 3 is the smallest exponent

Answer: 3p3 (3 + 9p2 + 2p7 + 4p2)

1. -20q8 -8q20 – 40q12 –80q10
1. Factor -20: 1, 2, 4, 5 10, and 20
2. Factor 8: 1, 2, 4 and 8
3. Factor 40: 1, 2, 4, 10, 20, 40
4. Factor 80: 1, 2, 4, 8, 10, 20
5. Smallest exponent is 8

Answer: -4q8(5q – 2q12 – 10q4 – 20q2)