LCM of Monomials and Polynomials
A. Find the LCM of 15a2bc3, 16b5c2, and 20a3c6.
15a2bc3 = 3
5
a2
16b5c2 = 24
b5
c2
20a3c6 = 22
5
a3
b
c3
Factor the first monomial.
Factor the second
monomial.
c6
Factor the third monomial.
LCM = 3 ● 5 ● 24● a3 ● b5 ● c6
Use each factor the
greatest number of times
it appears.
LCM of Monomials and Polynomials
= 240a3b5c6
Answer: 240a3b5c6
Simplify.
A. Find the LCM of 6x2zy3, 9x3y2z2, and 4x2z.
A. x2z
B. 36x2z
0%
B
A
0%
A
B
C
0%
D
D
D. 36xyz
C
C. 36x3y3z2
A.
B.
C.
0%
D.
LCM of Monomials and Polynomials
B. Find the LCM of x3 – x2 – 2x and x2 – 4x + 4.
x3 – x2 – 2x = x(x – 2)(x + 1)
Factor the first
polynomial.
x2 – 4x + 4 = (x – 2)2
Factor the second
polynomial.
LCM = x(x – 2)2(x + 1)
Answer: x(x – 2)2(x + 1)
Use each factor the
greatest number of
times it appears as a
factor.
B. Find the LCM of x3 + 2x2 – 3x and x2 + 6x + 9.
A. x(x + 3)2(x – 1)
B. x(x + 3)(x – 1)
0%
B
A
0%
A
B
C
0%
D
D
D. (x + 3)(x – 1)
C
C. x(x – 1)
A.
B.
C.
0%
D.
Monomial Denominators
Simplify
.
The LCD is 42a2b2.
Simplify each
numerator and
denominator.
Add the
numerators.
Monomial Denominators
Answer:
Simplify
.
A.
A
0%
0%
B
D.
A
B
C
0%
D
D
C.
A.
B.
C.
0%
D.
C
B.
Polynomial Denominators
Simplify
.
Factor the
denominators.
The LCD
is 6(x – 5).
Subtract the
numerators.
Polynomial Denominators
Distributive
Property
Combine like
terms.
Simplify.
Simplify.
Answer:
Simplify
.
A.
B.
0%
A
B
C
0%
D
D
A
0%
B
D.
C
C.
A.
B.
C.
0%
D.