GCMF
Factor completely: 8x+20
4(2x+5)
Factor: x2+17x+72
(x+9)(x+8)
Factor: x2-20x+100
(x-10)2
Factor: x2−144
(x+12)(x−12)
Factor: x3−12x2+48x−64
(x−4)3
What is the greatest common monomial factor of 18x2y, 24xy2, 30xy?
6xy
Expand: (x−8)(x+3)
x2−5x−24
Expand: (7a−3)2
49a2−24a+9
Expand: (3x+8)(3x−8)
9x2−64
Expand:(x-y)3
x3 - 3x2y + 3xy2 - y3
Factor completely: 15a3b−25a2b2
5a2b(3a−5b)
Factor: x2−2x−35
(x−7)(x+5)
Which expression is NOT a perfect square trinomial?
A. x2+12x+36
B. 9x2−30x+25
C. x2+2x+4
D. 16x2-24x+9
C
Factor completely: 81y2−25z2
(9y+5z)(9y−5z)
Factor: 8x3+12x2+6x+1
(2x + 1)3
Which expression is equivalent to 12m2n+18mn2?
A. 6mn(2m+3n)
B. 3mn(4m+6n)
C. 2mn(6m+9n)
D. All of the above
D
Which trinomial factors into (x+9)(x−2)?
A. x2+7x−18
B. x2+11x−18
C. x2+7x+18
D. x2−7x−18
A
Complete the trinomial x2−18x+___
so that it becomes a perfect square trinomial.
81
Which expression is a difference of two squares?
A. 16x2+9
B. 25x2−30y2
C. 49a2−121b2
D. x2+4x+4
C
Which polynomial is equal to (a+b)3?
A. a3−3a2b+3ab2−b3
B. a3+3a2b+3ab2+b3
C. a3−3ab+b3
D. a3−b3
B
A student factors 14x3y+21x2y2 as 7xy(2x2+3xy).
Is the factorization complete? If not, write the complete factorization.
No. The complete factorization is 7x2y(2x+3y).
Find the missing number x2+11x+___
so that the trinomial factors into two integer binomials.
10, 18, 24, 28, or 30
A learner says 25x2+20x+4=(5x+2)2
Is the learner correct? If not, write the complete factorization.
Yes
A student claims x2−100=(x−10)2.
Is the claim correct? If not, write the correct factorization.
No. The correct factorization is (x+10)(x−10)
Complete the expression: x3+15x2+75x+___
so that it becomes the cube of a binomial.
125