1.) Find the missing value such that × + 4 is a factor of ײ + 12× + ___.
a. 4
b. 8
c. 12
d. 32
2.) Factor 3ײ + 7× - 20 completely
a. (3× + 5) (× - 4)
b. (3× - 5) (× + 4)
c. (3× + 4) (× - 5)
d. (3× - 4) (× + 5)
3.) The GCF in 12× + 8 is ___.
a. 2
b. 4
c. 6
d. 8
4.) Which of the following are the factors of 6ײ + × - 12?
a. (2× - 3) (3× + 4)
b. (2× + 3) (3× - 4)
c. (x - 12) (6× + 1)
d. (× + 2) (6× - 1)
5.) Which of the following are the factors of ײ + × - 42?
a. (× - 7) (× + 6)
b. (× - 7) (× - 6)
c. (× + 7) (× + 6)
d. (× + 7) (× + 7) (× - 6)
Nonsense=reported.
Share
Answer:
1. D
2. A
3. B
4. A
5. ( x + 7 ) × ( x - 6 )
Solutions:
1.
x² + 12x + 32
x² + 8x + 4x + 32
X × ( X + 8 ) + 4 ( X + 8 )
= ( x+8) × ( x+4 )
2.
3x² + 7x - 20
3x² + 12x - 5x - 20
3X × ( X + 4 ) - 5 ( X + 4 )
= ( x + 4 ) × ( 3x - 5 )
3. 12x + 8
The GCF is the greatest common factor, 12 and 8 is both divisible by 4.
4.
6x² + x - 12
6x² + 9x - 8x - 12
3X × ( 2X + 3 ) - 4 ( 2X + 3 )
= ( 2x + 3 ) × ( 3x - 4 )
5.
x² + x - 42
x² + 7x - 6x - 42
X × ( X + 7 ) - 6 ( X + 7 )
= ( x + 7 ) × ( x - 6 )