Factoring polynomials

High School Math 1 · Unit 8 · factoring-polynomials

factoring-polynomials

Name ______________________________Date ______________

1.
Which is the complete factorization of $12x^{3} - 18x^{2}$ ?
1. (A)
  $6x(2x^{2} - 3x)$
2. (B)
  $3x^{2}(4x - 6)$
3. (C)
  $2x^{2}(6x - 9)$
4. (D)
  $6x^{2}(2x - 3)$
2.
Factor $6x^{2} - 5x - 6$ completely.
Answer: ______________
3.
A rectangle has area $x^{2} + 7x + 12$ square units and width $x + 3$ units. Write an expression for its length.
Answer: ______________
4.
Factor $x^{2} - 9$ .
1. (A)
  $(x - 3)^{2}$
2. (B)
  $(x + 3)^{2}$
3. (C)
  $(x - 3)(x + 3)$
4. (D)
  $(x - 9)(x + 1)$
5.
The trinomial $x^{2} + bx + 48$ can be factored as $(x + p)(x + q)$ , where $p$ and $q$ are positive integers. How many different values of $b$ are possible?
1. (A)
  $4$
2. (B)
  $5$
3. (C)
  $6$
4. (D)
  $8$
5. (E)
  $10$