Download presentation

Presentation is loading. Please wait.

Published byAndrea Marsh Modified over 8 years ago

1
Example 1A LCM of Monomials and Polynomials A. Find the LCM of 15a 2 bc 3, 16b 5 c 2, and 20a 3 c 6. 15a 2 bc 3 = 3 ● 5 ● a 2 ● b ● c 3 Factor the first monomial. 16b 5 c 2 = 2 4 ● b 5 ● c 2 Factor the second monomial. 20a 3 c 6 = 2 2 ● 5 ● a 3 ● c 6 Factor the third monomial. LCM= 3 ● 5 ● 2 4 ● a 3 ● b 5 ● c 6 Use each factor the greatest number of times it appears.

2
Example 1A LCM of Monomials and Polynomials Answer: 240a 3 b 5 c 6 = 240a 3 b 5 c 6 Simplify.

3
Example 1B LCM of Monomials and Polynomials B. Find the LCM of x 3 – x 2 – 2x and x 2 – 4x + 4. LCM = x(x + 1)(x – 2) 2 Use each factor the greatest number of times it appears as a factor. x 3 – x 2 – 2x=x(x + 1)(x – 2) Factor the first polynomial. x 2 – 4x + 4=(x – 2) 2 Factor the second polynomial. Answer: x(x + 1)(x – 2) 2

4
Concept

5
Example 2 Monomial Denominators The LCD is 42a 2 b 2. Simplify. Simplify each numerator and denominator. Add the numerators.

6
Example 2 Monomial Denominators Answer:

7
Example 3 Polynomial Denominators Factor the denominators. Simplify. Subtract the numerators. The LCD is 6(x – 5).

8
Example 3 Polynomial Denominators Distributive Property Combine like terms. Simplify. Answer:

9
Example 4 Complex Fractions with Different LCDs The LCD of the numerator is ab. The LCD of the denominator is b. Simplify.

10
Example 4 Complex Fractions with Different LCDs Write as a division expression. Simplify the numerator and denominator. Multiply by the reciprocal of the divisor. Simplify.

11
Example 4 Complex Fractions with Different LCDs Answer:

12
Example 5 Complex Fractions with Same LCD The LCD of all of the denominators is xy. Multiply by Simplify Distribute xy.

13
Example 5 Complex Fractions with Same LCD Answer:

Similar presentations

© 2023 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google