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The 4 Sign Facts
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Factor and Solve
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100
ax^2+bx+c= ( ? )( ? )
( + )( + )
100
x^2+6x+5
(x+5)(x+1)
100
(x+3)(x+4)=0
x=-3 and x=-4
100
x^2+5x+4=0
(x+4)(x+1)=0 x=-4 and x=-1
100
x^2+3x+2 factored is (x+2)(x+1)
yes
200
ax^2-bx+c= ( ? )( ? )
( - )( - )
200
b^2+4b+3
(b+1)(b+3)
200
(h+7)(h+9)=0
h=-7 and h=-9
200
z^2+9z+14=0
(z+7)(z+2)=0 z=-7 and z=-2
200
n^2+8n+12 factored is (n+3)(n+4)
no, should be (n+6)(n+2)
300
ax^2+bx-c= ( ? )( ? )
( + )( - ) or ( - )( + )
300
a^2-7a+10
(a-5)(a-2)
300
(2k-3)(k+6)=0
k=3/2 and k=-6
300
b^2-11b+30=0
(b-6)(b-5)=0 b=6 and b=5
300
a^2-12a+35 factored is (n-7)(n+5)
no, should be (n-7)(n-5)
400
ax^2-bx-c= ( ? )( ? )
( + )( - ) or ( - )( + )
400
z^2+10z-24
(z+12)(z-2) or (z-2)(z+12)
400
(3n+10)(4n-9)=0
n=-10/3 and n=9/4
400
c^2+16c-36=0
(c+18)(c-2)=0 c=-18 and c=2
400
z^2+13z-48 factored is (z+16)(z-3)
yes
500
( + )( - )= ??
ax^2-bx+c or ax^2-bx-c
500
y^2-17y-60
(y+3)(y-20) or (y-20)(y+3)
500
(3x-14)(5x+8)
x=14/3 and x=-8/5
500
2a^3-16a^2-40a=0
2a(a+2)(a-10)=0 a=0, a=-2 and a=10
500
h^2-15h-76 factored is (h-18)(h+3)
no, should be (h-19)(h+4)