CMF
What is the GCF of
a5b8, a4b6, a3b9, and a12b10?
a3b6
TRUE or FALSE:
9x2 - 4 = (3x - 2)2
FALSE. 9x2 - 4 = (3x + 2) (3x - 2)
The following is true about perfect square trinomials EXCEPT one. Which is it?
a. The first and last terms must be perfect squares
b. Both first and last terms are positive
c. If you multiply the square root of the first and last terms and double the result, you can get the middle term.
d. The second term is the sum of the factors of the last term.
D.
TRUE or FALSE.
x2 - 5x + 6 is a general trinomial of the form x2 + bx + c
TRUE.
What is the common monomial factor of the terms of the polynomial
28x5y6 – 8x7y7 + 12x3y6?
4x3y6
Which of the following binomials is a difference of squares?
A. x2 - 6
B. 5x2 - 10
C. 4x2 - 1
D. x2 + 25
C.
TRUE or FALSE. The trinomial x2 – 6x + 9 is a PST.
TRUE.
a2 + 4a – 12 = (a - 2)(_____)
What is the missing factor?
(a + 6)
Factor using the CMF:
18x6 – 42x5 – 36x2
6x2 (3x4 - 7x3 - 6)
Factor the DOTS:
25x2 - 36
(5x + 6) (5x - 6)
Find the measure of one side of the square given the
Area= x2 – 18x + 81 sq. meters
x - 9 meters
Factor: x2 – 5x – 24
(x - 8) (x +3)
Factor: 25x7 – 15x4 + 35x2
5x2 (5x5 - 3x2 + 7)
Which of the following expressions has factors (2x – y) and (2x + y)?
A. 2x2 + y2
B. 2x2 – y2
C. 4x2 + y2
D. 4x2 – y2
D.
Factor: 25x2 - 40x + 16
(5x - 4)2
A rectangular car port has an area of
(x2 – 15x + 36) m2. What are the dimensions (length and width) of the rectangular car port?
length: x - 3
width: x - 12
The following polynomials, EXCEPT one, have terms that have a common monomial factor. Which one is it?
A. –15b2 + 10b + 5b
B. 2xy + 7x2y – xy2
C. 12x2 + 6x + 7
D. –40m4 + 25m3 – 10m2
C
Factor the DOTS: Hint: Find the CMF first.
12x2 – 75
3(2x + 5) (2x - 5)
Factor: 25y2 + 10y + 1
(5y + 1)2
The area of a rectangular pool is represented by x2 + bx + 12. For what value/s of b will make the area unfactorable? Answers maybe more than 1.
A. 6
B. 7
C. 8
D. 9
C & D