Warm-Up. Factor the following expressions by pulling out things that each term has in common: 4x 3 + 8x 2 + 12xz 9x 2 y 3 + 3xy 2 + 27xy 4. X-box Factoring. Standard.
Factor the following expressions by pulling out things that each term has in common:
Students apply basic factoring techniques to second- and simple third-degree polynomials. These techniques include finding a common factor for all terms in a polynomial, recognizing the difference of two squares, and recognizing perfect squares of binomials.
Objective: We will use the x-box method to factor trinomials.
We are going to factor trinomials like 3x2 + 27x + 60 using the X-Box method.
Step 1: Write the polynomial in standard form.
Step 2: Factor all common factors in the trinomial.
Step 3: Use the X method.
Step 4: Write your answer.
Step 5: Check your answer by distributing
y = ax2 + bx + c
First and Last Coefficients
2. x2 - 9x + 20
Solution: x2 - 9x + 20 =(x - 4)(x - 5)
Factor: x2 – 6x + 5
Answer: (x – 1)(x – 5)
1. x2 + 6x + 5
(x + 5)(x + 1)
2. r2 – 12r + 35
(r – 5)(r – 7)