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Factoring Trinomials Part 1
Factoring Trinomials of the form x^2 + bx + c
10
Mathematics
8th Grade
11/01/2012

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Term
x2 + 9x + 20
Definition

x2 + 4x + 5x + 20

(x2 + 4x) + (5x + 20)

x(x + 4) + 5(x + 4)

(x + 5)(x + 4)

Term
n2 - 3n - 28
Definition

n2 + 4n - 7n - 28

(n2 + 4n) + (-7n - 28)

n(n + 4) + -7(n + 4)

(n + 4)(n - 7)

Term
x2 + x - 30
Definition

x2 - 5x + 6x - 30

(x2 - 5x) + (6x - 30)

x(x - 5) + 6(x - 5)

(x - 5)(x + 6) 

Term
y2 - 16y + 28
Definition

y2 - 14y - 2y + 28

(y2 - 14y) + (-2y + 28)

y(y - 14) + -2(y - 14)

(y - 14)(y - 2)

Term
t2 - 13t + 42
Definition

t2 - 6t - 7t + 42

(t2 - 6t) + (-7t + 42)

t(t - 6) + -7(t - 6)

(t - 6)(t - 7)

Term
x2 + 4x + 3
Definition

x2 + 3x + 1x + 3

(x2 + 3x) + (1x + 3)

x(x + 3) + 1(x + 3)

(x + 3)(x + 1)

Term
y2 + 6y + 8
Definition

y2 + 4y + 2y + 8

(y2 + 4y) + (2y + 8)

y(y + 4) + 2(y + 4)

(y+ 4)(y + 2)

Term
x2 - 15x - 54
Definition

x2 + 3x - 18x - 54

(x2 + 3x) + (-18x - 54)

x(x + 3) + -18(x + 3)

(x - 18)(x + 3)

Term
n2 - 3n + 2
Definition

n2 - 1n - 2n + 2

(n2 - 1n) + (-2n + 2)

n(n - 1) + -2(n - 1)

(n - 2)(n - 1)

Term
m2 + 10m - 24
Definition

m2 - 2m + 12m - 24

(m2 - 2m) + (12m - 24)

m(m - 2) + 12(m - 2)

(m - 2)(m + 12)

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