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Intro
Factoring trinomials is the process that shows that \(2x^2 +5x +3= (2x+3)(x + 1)\). Try some problems or videos below.
Problems & Videos
Factor
\(\textbf{1)}\) \( 2x^2+x-10 \)
\(\textbf{2)}\) \( 3x^2+11x+6 \)
\(\textbf{3)}\) \( 4x^2-x-5 \)
\(\textbf{4)}\) \( 3x^2+16x-12 \)
\(\textbf{5)}\) \( 2x^2+x-1 \)
\(\textbf{6)}\) \( 9x^2+6x+1 \)
\(\textbf{7)}\) \( 6x^3+28x^2+16x \)
\(\textbf{8)}\) \( 3x^2+17x+10 \)
\(\textbf{9)}\) \( 6x^2+11x-10 \)
\(\textbf{10)}\) \( 4x^2-5x+1 \)
\(\textbf{11)}\) \( 3x^2+16x+5 \)![Link to Youtube Video Solving Question Number 11](https://andymath.com/wp-content/uploads/2020/08/play-video.jpg")
\(\textbf{12)}\) \( 6x^2+x-12 \)
\(\textbf{13)}\) \( 5x^2+7x+2 \)
\(\textbf{14)}\) \( 4x^2+11x+6 \)
\(\textbf{15)}\) \( 9x^2+9x+2 \)
See Related Pages\(\)
\(\bullet\text{ Factoring Calculator }\)
\(\,\,\,\,\,\,\,\,\text{(Symbolab.com)}\)
\(\bullet\text{ Factoring out a GCF}\)
\(\,\,\,\,\,\,\,\,3xyz^2+x^2y^2z+9x^3y=xy(3z^2+xyz+9x^2)…\)
\(\bullet\text{ Perfect Square Trinomials}\)
\(\,\,\,\,\,\,\,\,x^2-6x+9=(x-3)^2…\)
\(\bullet\text{ Factoring Trinomials with a}=1\)
\(\,\,\,\,\,\,\,\,x^2+7x+12=(x+3)(x+4)…\)
\(\bullet\text{ Factoring with u-substitution}\)
\(\,\,\,\,\,\,\,\,x^4+5x^2+6=u^2+5u+6…\)
\(\bullet\text{ Difference of Two Squares}\)
\(\,\,\,\,\,\,\,\,x^2-16=(x+4)(x-4)…\)
\(\bullet\text{ Sum/Difference of Two Cubes}\)
\(\,\,\,\,\,\,\,\,x^3-8=(x-2)(x^2+2x+4)…\)
\(\bullet\text{ Factor by Grouping}\)
\(\,\,\,\,\,\,\,\,8x^3-4x^2-6x+3=(4x^2-3)(2x-1)…\)
\(\bullet\text{ Solving Quadratic Equations by Factoring}\)
\(\,\,\,\,\,\,\,\,x^2+10x−24=0…\)
In Summary
Factoring is the mathematical process by which an expression (or a number) is represented as a product of its factors. The first step of factoring is always to check for a GCF or Greatest Common Factor. For example, the expression \(2x^2 + 3x\) has a GCF of x and can be factored such that \(2x^2 +3x= (x)(2x + 3)\).
Factoring trinomials is the mathematical process by which a usually quadratic trinomial is represented as a product of its factors. For example, the expression \(x^2 + 3x + 2\) can be factored such that \(x^2 +3x +2= (x+2)(x + 1)\).
Factoring is a useful tool for solving equations and simplifying expressions.
Factoring is a useful tool for solving equations and simplifying expressions, and can also be used to find the GCF of two or more numbers.
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