Algebra – Dividing Polynomials by a Monomial
The key is to isolate each monomial.
8x2 + 4x – 2
4
8x2
4
+
8÷4=2
2x2
4x
4
-
4÷4=1
+
x
2
4
2 ÷ 4 = 2/4 or ½
-
½
Solve by dividing each term.
8x – 6
6+4
4 = 4x - 3 + 2
8x
2
2
6x + 8
10x 2 – 6x
8 = 5x - 3 + 4
10x
2x
2x
2
4n
6n
4n2 + 6n
2
2
12 = 2n + 3n - 6
- 12
2
2
4x
4x2
– 44 = 2x - 2
2
2
2a
2a2
4a = a - 2
– 4a
2a
2a
2
14z
14z2
49z = 2z - 7
– 49z
7z
7z