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Lesson
Notes
Problems and Videos
Factor fully.
\(\textbf{1)}\) \( x^2-9 \)
\(\textbf{2)}\) \( x^2-1 \)
\(\textbf{3)}\) \( x^2-25 \)
\(\textbf{4)}\) \( x^2-49 \)
\(\textbf{5)}\) \( 4x^2-49 \)
\(\textbf{6)}\) \( 4x^2-16y^2 \)
\(\textbf{7)}\) \( 16x^4-49w^2z^2 \)
\(\textbf{8)}\) \( 12x^3-27xy^2 \)
\(\textbf{9)}\) \( x^2+9 \)
\(\textbf{10)}\) \( 4x^4-9y^2 \)
Challenge Problems
\(\textbf{11)}\) Solve for x. \(\,\, \displaystyle 4= \frac{x^2-9}{3-x} \)
See Related Pages\(\)
\(\bullet\text{ Factoring Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Symbolab.com)}\)
\(\bullet\text{ Factoring out a GCF}\)
\(\,\,\,\,\,\,\,\,3xyz^2+x^2y^2z+9x^3y=xy(3z^2+xyz+9x^2)…\)
\(\bullet\text{ Perfect Square Trinomials}\)
\(\,\,\,\,\,\,\,\,x^2-6x+9=(x-3)^2…\)
\(\bullet\text{ Factoring Trinomials with a}=1\)
\(\,\,\,\,\,\,\,\,x^2+7x+12=(x+3)(x+4)…\)
\(\bullet\text{ Factoring Trinomials with a} \ne 1\)
\(\,\,\,\,\,\,\,\,3x^2+11x+6=(3x+2)(x+3)…\)
\(\bullet\text{ Factoring with u-substitution}\)
\(\,\,\,\,\,\,\,\,x^4+5x^2+6=u^2+5u+6…\)
\(\bullet\text{ Sum/Difference of Two Cubes}\)
\(\,\,\,\,\,\,\,\,x^3-8=(x-2)(x^2+2x+4)…\)
\(\bullet\text{ Factor by Grouping}\)
\(\,\,\,\,\,\,\,\,8x^3-4x^2-6x+3=(4x^2-3)(2x-1)…\)
\(\bullet\text{ Solving Quadratic Equations by Factoring}\)
\(\,\,\,\,\,\,\,\,x^2+10x−24=0…\)
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