About How to Factor Trinomials:
When we factor a trinomial into the product of two binomials, we are essentially reversing the FOIL process. The easier scenario occurs when the leading coefficient is one. In this case, the first position for each binomial is given. The second position for each binomial is obtained by finding two integers whose sum is b (coefficient for the variable raised to the first power) and whose product is c (constant term).
Test Objectives
- Demonstrate the ability to factor out the GCF or -GCF from a trinomial
- Demonstrate the ability to factor a trinomial into the product of two binomials
- Demonstrate the ability to factor a trinomial when two variables are involved
#1:
Instructions: Factor each.
a) $$x^2 - 15x + 50$$
b) $$k^2 - 6k - 16$$
Watch the Step by Step Video Solution View the Written Solution
#2:
Instructions: Factor each.
a) $$x^2 + 6x - 7$$
b) $$b^2 + 6b + 8$$
Watch the Step by Step Video Solution View the Written Solution
#3:
Instructions: Factor each.
a) $$r^2 + 6r - 12$$
b) $$6x^2 + 54x + 84$$
Watch the Step by Step Video Solution View the Written Solution
#4:
Instructions: Factor each.
a) $$4m^2 - 12mn - 216n^2$$
b) $$5x^2 - 20xy - 60y^2$$
Watch the Step by Step Video Solution View the Written Solution
#5:
Instructions: Factor each.
a) $$6x^2 - 90xy + 324y^2$$
b) $$2m^2 - 16mn + 24n^2$$
Watch the Step by Step Video Solution View the Written Solution
Written Solutions:
#1:
Solutions:
a) $$(x - 5)(x - 10)$$
b) $$(k - 8)(k + 2)$$
Watch the Step by Step Video Solution
#2:
Solutions:
a) $$(x - 1)(x + 7)$$
b) $$(b + 4)(b + 2)$$
Watch the Step by Step Video Solution
#3:
Solutions:
a) $$\text{Prime Polynomial}$$
b) $$6(x + 7)(x + 2)$$
Watch the Step by Step Video Solution
#4:
Solutions:
a) $$4(m - 9n)(m + 6n)$$
b) $$5(x + 2y)(x - 6y)$$
Watch the Step by Step Video Solution
#5:
Solutions:
a) $$6(x - 9y)(x - 6y)$$
b) $$2(m - 2n)(m - 6n)$$
