Expansion
Factor with GCF
Factoring Special Products
Factoring by Grouping
Finding Polynomial Roots
100
$2x(x+7)$
$2x^2 + 14x$
100
$3x^{2} +6x$
$3x(x+2)$
100
$f^2 - 4f + 4$
$(f-2)^2$
100
$x^2 +5x -36$
$(x - 4)\cdot(x+9)$
100
The polynomial roots of $(x-6)\cdot(x+12) = 0$
$x=6 \& x = -12$
200
$4x^2(x + 4y)$
$4x^3 + 16x^2y$
200
$5x^{3} - 125x$
$5x ( x^{2} - 25)$
200
$u^2-10u+25$
$(u-5)^2$
200
$x-12x +35$
$(x-7)\cdot(x-5)$
200
The polynomial roots of $(x-4)\cdot(x+13) = 0$
$x =4 \& x = -13$
300
$(x + 3)\cdot(x+7)$
$x^2 + 10x + 21$
300
$4x^{3} + 6x + 2x^{2}$
$2x\cdot(2x^{2} + 3 + x)$
300
$x^2 -144$
$(x-12)\cdot(x+12)$
300
$x^2 -2x-35$
$(x+5)\cdot(x-7)$
300
The polynomial roots of $(x-10)\cdot(x-8) = 0$
$x = 10 \& x =8$
400
$(x+10)^2$
$x^2 + 20x + 100$
400
$7x^2+14x+49$
$7(x^2 + 2x +7)$
400
$64x^2 -80xy + 25y^2$
$(8x-5y)^2$
400
$x^2 + 9x +20$
$(x+4)\cdot(x+5)$
400
The polynomial roots of $x^2 + 2x -63 = 0$
$x=-7 \& x = -9$
500
$(6x - 2y)^2$
$36x^2 - 24xy + 4y^2$
500
$6x^{2}y + 9xy^{2}$
$3xy(2x +3y)$
500
$9x^2 + 42x + 49$
$(3x +7)^2$
500
$x^2 + 12x + 32$
$(x+4)\cdot(x+8)$
500
The polynomial roots of $x^2 +11x + 28 = 0$
$x = -4 \& x = -7$
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