1. FACTORING and RADICALS REVIEW
ALGEBRA I @
FACTORING and RADICALS REVIEW

2. Ok, let’s start with the factoring stuff.
Write each polynomial in Standard Form. Then, name the polynomial by degree and number of terms.
1) 3 + b3 + b2
ANSWER : b3 + b2 + 3; cubic trinomial
2) 9 – a3b4
ANSWER : -a3b4 + 9; seventh degree binomial

3. Simplify. Write your answer in Standard Form.
(5x3 – 2x2 + 7) – (3x3 + 2x2 – 7x + 5)
ANSWER : 2x3 – 4x2 + 7x + 2
Simplify each product. Write your answer in Standard Form.
4) 5a2(3a – 4)
5) (4x – 5)(7x + 2)
ANSWER : 15a3 – 20a2
ANSWER : 28x2 – 27x - 10

4. Factor completely. 6) 3b4 – 9b2 + 6b 9) s2 – 20s + 100
ANSWER : 3b(b3 – 3b + 2)
ANSWER : (s – 10)2
7) 21z2 – 70z + 49
10) g2 - 25
ANSWER : 7(3z – 7)(z -1)
ANSWER : (g + 5)(g – 5)
8) x2 + 21x + 38
11) 6d4 + 4d3 – 6d2 – 4d
ANSWER : (x + 19)(x + 2)
ANSWER : 2d(d + 1)(d – 1)
(3d + 2)

5. ALGEBRA I - FACTORING and RADICAL REVIEW
5/25/2019
ALGEBRA I - FACTORING and RADICAL REVIEW

6. Simplify each radical expression.
ANSWER : -168sqrt(3)
ANSWER : (3sqrt(2)) / 2
ANSWER : 45ab3sqrt(5)
ANSWER : -2 – 10sqrt(15)

7. Riddle me this :
I am an odd number; take away an alphabet and I become even. What number am I?
ANSWER : seven (seven – s = even)