Transcript LX. Factoring Trinomials in the Form of x2 + bx + c

8.5 Factoring x2 + bx + c
Factor trinomials of the form 𝑥 2 + 𝑏𝑥 + 𝑐
Factoring with Positives
 x2
+ 3x + 2
◦Find two factors of 2 whose
sum is 3.
◦Helps to make a list
 (x
+ 1)(x + 2)
Factors of 2
Sum of
Factors
1, 2
1+2=3
Try These!
 a2
+ 7a + 10
◦Find two factors of 10 whose
Factors of 10
Sum of
sum is 7.
Factors
 (a
+ 5)(x + 2)
 t2
 (t
+ 9t + 14
+ 7)(t + 2)
1, 10
1 + 10 = 11
2, 5
2+5=7
Positives and Negatives
 n2
– 5n + 6
◦Find two factors of 6 whose
sum is -5.
◦Helps to make a list
 (n
- 2)(n - 3)
Factors of 6
Sum of
Factors
1, 6
1+6=7
2,3
2+3=5
-1, -6
-1 + -6 = -7
-2, -3
-2 + -3 = -5
Try These!
 y2
+ 3y - 10
◦Find two factors of -10 whose
Factors of Sum of
sum is 3.
10
Factors
 (y
 w2
- 2)(y + 5)
+ 6w - 16
 (w + 8)(w - 2)
1, -10
1 + (-10) = 9
-1, 10
-1 + 10 = -9
2, -5
2 + (-5) = -3
-2, 5
-2 + 5 = 3
Assignment


Odds
P.515 #11-37