Lesson 94 – Doodles Do Algebra

lesson94doodlepigcToday your child practices greatest common divisor some more.

Download Lesson 94 Here

Answers:

1. Find the prime factors of x^2+2x-3 which are (x+3), (x-1). Then find the prime factors of x^2+5x+6 which are (x+2), (x+3). So the greatest common divisor is (x+3).

2. This problem you have to just divide 6a^2+7ax-3x^2 by 6a^2+11ax+3x^2 and find the greatest common divisor is 2a+3x.

3. The factors in a^4-x^4 are (a^2+x^2)(a^2-x^2). The factors in a^3+a^2x-ax^2-x^3 are (a+x)(a^2-x^2). So the greatest common divisor is (a^2-x^2).

4. The greatest common divisor is (a-x).

All of the problems we did had no remainder in the division.

And that was the end of the lessons on Greatest Common Divisor.

 doodlemom