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- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_384%3A_Foundations_for_Calculus/07%3A_Coordinate_Trigonometry/7.02%3A_Algebra_with_Trigonometric_FunctionsThis section delves into algebraic techniques for handling trigonometric functions, focusing on simplifying expressions, factoring, and applying the Distributive Law within the context of trigonometry...This section delves into algebraic techniques for handling trigonometric functions, focusing on simplifying expressions, factoring, and applying the Distributive Law within the context of trigonometry. It's designed to strengthen algebraic manipulation skills specifically encountered in Trigonometry, providing a solid foundation for more advanced trigonometric concepts and analyses.
- https://math.libretexts.org/Bookshelves/Algebra/Elementary_Algebra_(Arnold)/06%3A_Factoring/6.01%3A_The_Greatest_Common_FactorWe begin this section with definitions of factors and divisors. Because 24=2⋅12 , both 2 and 12 are factors of 24 . However, note that 2 is also a divisor of 24 , because when you divide 24 ...We begin this section with definitions of factors and divisors. Because 24=2⋅12 , both 2 and 12 are factors of 24 . However, note that 2 is also a divisor of 24 , because when you divide 24 by 2 you get 12 , with a remainder of zero. Similarly, 12 is also a divisor of 24 , because when you divide 24 by 12 you get 2 , with a remainder of zero.
- https://math.libretexts.org/Courses/Highline_College/MATHP_141%3A_Corequisite_Precalculus/02%3A_Algebra_Support/2.07%3A_The_Greatest_Common_Factor_and_Factor_by_Grouping\[\begin{aligned} {\color {Red}2 x(}3 x^{2}+4 x-7{\color {Red})} &={\color {Red}2 x} \cdot 3 x^{2}+{\color {Red}2 x} \cdot 4 x-{\color {Red}2 x} \cdot 7 \\ &=6 x^{3}+8 x^{2}-14 x \end{aligned} \nonumb...\[\begin{aligned} {\color {Red}2 x(}3 x^{2}+4 x-7{\color {Red})} &={\color {Red}2 x} \cdot 3 x^{2}+{\color {Red}2 x} \cdot 4 x-{\color {Red}2 x} \cdot 7 \\ &=6 x^{3}+8 x^{2}-14 x \end{aligned} \nonumber \] \[\begin{aligned} 6 x^{3}+8 x^{2}-14 x &={\color {Red}2 x} \cdot 3 x^{2}+{\color {Red}2 x} \cdot 4 x-{\color {Red}2 x} \cdot 7 \\ &={\color {Red}2 x(}3 x^{2}+4 x-7{\color {Red})} \end{aligned} \nonumber \]
- https://math.libretexts.org/Courses/Cosumnes_River_College/Math_373%3A_Trigonometry_for_Calculus/02%3A_Coordinate_Trigonometry/2.02%3A_Algebra_with_Trigonometric_FunctionsThis section delves into algebraic techniques for handling trigonometric functions, focusing on simplifying expressions, factoring, and applying the Distributive Law within the context of trigonometry...This section delves into algebraic techniques for handling trigonometric functions, focusing on simplifying expressions, factoring, and applying the Distributive Law within the context of trigonometry. It's designed to strengthen algebraic manipulation skills specifically encountered in Trigonometry, providing a solid foundation for more advanced trigonometric concepts and analyses.
- https://math.libretexts.org/Courses/Coastline_College/Math_C097%3A_Support_for_Precalculus_Corequisite%3A_MATH_C170/1.02%3A_Algebra_Support/1.2.07%3A_The_Greatest_Common_Factor_and_Factor_by_Grouping\[\begin{aligned} {\color {Red}2 x(}3 x^{2}+4 x-7{\color {Red})} &={\color {Red}2 x} \cdot 3 x^{2}+{\color {Red}2 x} \cdot 4 x-{\color {Red}2 x} \cdot 7 \\ &=6 x^{3}+8 x^{2}-14 x \end{aligned} \nonumb...\[\begin{aligned} {\color {Red}2 x(}3 x^{2}+4 x-7{\color {Red})} &={\color {Red}2 x} \cdot 3 x^{2}+{\color {Red}2 x} \cdot 4 x-{\color {Red}2 x} \cdot 7 \\ &=6 x^{3}+8 x^{2}-14 x \end{aligned} \nonumber \] \[\begin{aligned} 6 x^{3}+8 x^{2}-14 x &={\color {Red}2 x} \cdot 3 x^{2}+{\color {Red}2 x} \cdot 4 x-{\color {Red}2 x} \cdot 7 \\ &={\color {Red}2 x(}3 x^{2}+4 x-7{\color {Red})} \end{aligned} \nonumber \]
