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Notes
Questions & Answers
Factor the Following
\(\textbf{1)}\) \(x^2+4x+4\)
\(\textbf{2)}\) \(x^2-6x+9\)
\(\textbf{3)}\) \(x^2+8x+16\)
\(\textbf{4)}\) \(x^2-10x+25\)
\(\textbf{5)}\) \(4x^2+12x+9\)
\(\textbf{6)}\) \(9x^2+6x+1\)
\(\textbf{7)}\) \(x^2-2x+1\)
\(\textbf{8)}\) \(x^2-12x+36\)
\(\textbf{9)}\) \(x^2-20x+100\)
\(\textbf{10)}\) \(x^2-14x+49\)
Challenge Problem
\(\textbf{11)}\) Simplify \(\sqrt{54-14\sqrt{5}}\)
See Related Pages\(\)
\(\bullet\text{ Factoring Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Symbolab.com)}\)
\(\bullet\text{ Factoring out a GCF}\)
\(\,\,\,\,\,\,\,\,3xyz^2+x^2y^2z+9x^3y=xy(3z^2+xyz+9x^2)…\)
\(\bullet\text{ Factoring Trinomials with a}=1\)
\(\,\,\,\,\,\,\,\,x^2+7x+12=(x+3)(x+4)…\)
\(\bullet\text{ Factoring Trinomials with a} \ne 1\)
\(\,\,\,\,\,\,\,\,3x^2+11x+6=(3x+2)(x+3)…\)
\(\bullet\text{ Factoring with u-substitution}\)
\(\,\,\,\,\,\,\,\,x^4+5x^2+6=u^2+5u+6…\)
\(\bullet\text{ Difference of Two Squares}\)
\(\,\,\,\,\,\,\,\,x^2-16=(x+4)(x-4)…\)
\(\bullet\text{ Sum/Difference of Two Cubes}\)
\(\,\,\,\,\,\,\,\,x^3-8=(x-2)(x^2+2x+4)…\)
\(\bullet\text{ Factor by Grouping}\)
\(\,\,\,\,\,\,\,\,8x^3-4x^2-6x+3=(4x^2-3)(2x-1)…\)
\(\bullet\text{ Solving Quadratic Equations by Factoring}\)
\(\,\,\,\,\,\,\,\,x^2+10x−24=0…\)
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