GCF and Perfect Squares!

Group members: Billy Wilson, David Guity, Steven Fernandez

GCF stands for Greatest Common Factor. It’s what we have learned from Elementary School. Simply it’s finding what two numbers have in common and taking it out of both numbers. A perfect square is more complicated. What perfect square is, it’s if a number X can be created by the products of 2 equal number (X=YxY). My group members and I will be writing about how to factor equations or expressions using GCF and perfect squares.

Steps: first you figure out if an expression or equation have either perfect squares are not.

If they do!

Find the square root of the entire equation and square it in the end.
Then find if they have anything in common (GCF) if not than your done.

If they don’t!

Find the GCF of the equation and take out that number from all the numbers in the equation and put it outside the parenthesis.

Example Problems:

1) 5x^2+10x+5 5(x^2+2+1) 5(x+1) (x+1) 5(x+1) ^2

2) 3x^2+6+3 3(x^2+2+1) 3(x+1) (x+1) 3(x+1) ^2

3) 9x^2+4 (3x+2) (3x-2)

4) 16x^2+40x+25 (4x+5) (4x+5) (4x+5) ^2
5) 125x^2+350+245 5(25x^2+70+49) 5(5x+7) (5x+7) 5(5x+7) ^2

Problems for the class:

1.4x^2+9

2.16x^2+144

3.49x^2+121

4.x^2+64

5.196x^2+81

Conclusion

This is the way to factor perfect square. Basically, following the steps will be easy to do. Make sure to check for GCF. There are other ways to factor binomials. This will lead you into the other factoring methods. Hopefully, you can use these steps correctly