Factoring Trinomials ax²+bx+c

Introduction

In Factoring Quadratic Trinomials 

Factor the first term of the trinomial and write thesw factors as the first term of the factors.

List down all the factors of the last term.

Identify which factor pair sums up the middle term, then

write each factor in the pairs as the lastbterm of the binomial factors.

Task

1. x²+7×+10

2. x²+7×+12

3. x²+2x-8

4. x²+9x+18

5. x²-8x+12

6. 2x²+3x-2

7. 3x²+5x+2

8. 5x²+6x+1 

 (x-6) (x-2)          (5x+1) (x+1)

           (x+2) (x+5)               (x+4) (x-2)

 (x+4) (x-2)            (3x+2) (x+1)

            (2x-1) (x+2)          (x+6) (x+3)

Process

From the posted trinomials, the player must solve and find the following factors given below.

Evaluation

This is the scoreboad of the player will be based:

8-6 - Excellent

5-4 - Smart

3-1 - Amateur

O - Poor

 

Conclusion

Factoring Trinomials in the form x2 + bx + c

is a factor trinomial in the formof x2 + bx +c, find two integers, r and s, whose product is c and whose sum is b. Rewrite thetrinomial as x2 + rx + sx + c and then use grouping and the distributive property tofactor the polynomial.