Square Roots Review
Radicand
What are perfect squares?
Examples:
1. 2.
3.
**Not all numbers under the radicand will be perfect squares. When this happens, you can simplify the square roots.
Example:
Simplify the following square roots.
1. 2. 3. 3
4. 5. 3
6. 7. 4
Review of Factoring
Examples:
1. x2 + 16x + 63 = 0
2. n2 ­ 16n + 60 = 0
3. x2 + 3x ­ 28 = 0
4. k2 ­ 5k ­ 36 = 0
Review of Factoring
5­Step Method
1. Multiply the first term (a) and the third term (c). List the factors.
2. Pick the pair that will add to the middle term (b). 3. Replace the middle term with the pair you chose in step 2. 4. Group the first two terms together and the last two terms together. Take out the GCF for each group. One group must be the same!
5. Outside terms become one parenthesis, and the expression in common is the other parenthesis.
Example:
6x2 ­ 11x ­ 10 = 0
Factor and solve each equation.
1. 3x2 + 13x + 4 = 0
2. 4x2 + 8x + 3 = 0
3. 21n2 + 14n + 7 = 6n + 11