[PDF] 8 3 practice factoring x2 bx c

How do you factor x2 + bx+ c?

Example 2C: Factoring x2 + bx+ c When cis Positive Factor each trinomial. Check your answer. x 2– 8 x + 15 b = –8 and c = 15; look for factors of 15 whose sum is –8. The factors needed are –3 and –5 . Factors of 15 Sum –1 and –15 –16 –3 and –5 –8 x –3)( x –5) Check x – 3)( x – 5 ) = x 2 – 3 x – 5 x + 15 Use the FOIL method.

How to factor trinomials of the form x2 + bx + c?

Let’s summarize the method we just developed to factor trinomials of the form x2 + bx + c. Factor trinomials. When we factor a trinomial, we look at the signs of its terms first to determine the signs of the binomial factors. When c is positive, m and n have the same sign. When c is negative, m and n have opposite signs.

How do I write a factoring problem?

Before starting any factoring problem, it is helpful to write your expression in standard form. [Why?] Once this is the case, you can proceed to the following list of questions: Question 1: Is there a common factor? If no, move onto Question 2. If yes, factor out the GCF and continue to Question 2.

How to find factors in math?

Let’s summarize the steps we used to find the factors. Step 1. Write the factors as two binomials with first terms x: (x)(x) ( x) ( x). Step 2. Find two numbers m and n that Step 3. Use m and n as the last terms of the factors: (x + m)(x + n) ( x + m) ( x + n). Step 4. Check by multiplying the factors. Factor: u2 + 11u + 24 u 2 + 11 u + 24.