My suggestion is to use the quadratic equation only when an equation cannot be perfectly reduced to factors. For example:
x^2 - 5x + 6 can be perfectly reduced to x^2 + (-3x - 2x) + (-3 . -2). It might be easier and faster to calculate this way. Just look for two numbers whose sum or difference is the coefficient of the central term, and product is the last term. And watch out for the + or - signs. If there is no coefficient, it is assumed to be 1.
But if the equation were: x^2- 5x + 7, then there are no two real numbers, whose sum/difference is 5, and product is 7. Use the quadratic equation in this case, as that is the only way out.
Also, if there are coefficients to each of the variables, see if you can reduce the whole equation by dividing with a common number, before you factorize further. Eg: 3x^2 - 12x + 18 = 0 can be reduced to x^2 - 4x + 6 by dividing both sides by 3.
That's some tips for simplification that I am able to offer. Hope it helps.
x^2 - 5x + 6 can be perfectly reduced to x^2 + (-3x - 2x) + (-3 . -2). It might be easier and faster to calculate this way. Just look for two numbers whose sum or difference is the coefficient of the central term, and product is the last term. And watch out for the + or - signs. If there is no coefficient, it is assumed to be 1.
But if the equation were: x^2- 5x + 7, then there are no two real numbers, whose sum/difference is 5, and product is 7. Use the quadratic equation in this case, as that is the only way out.
Also, if there are coefficients to each of the variables, see if you can reduce the whole equation by dividing with a common number, before you factorize further. Eg: 3x^2 - 12x + 18 = 0 can be reduced to x^2 - 4x + 6 by dividing both sides by 3.
That's some tips for simplification that I am able to offer. Hope it helps.
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TEEX(6): Cybersec. 101/201/301
The Institutes(2): Ethics
Sophia(2): Ess. Of Managing Conflict, Dev. Effective Teams
NFA(1): Comm. Safety Edu.
GED(10): NAS-131, SOC-273, MAT-121, HUM-101 (1)
Study.com(75): Intro to Psych., Soc. Psych.-1, Growth & Dev. Psych., Personality Psych., History & Systems of Psych., Org. Theory, Library Science, Comm. at Workplace, Intro to World Religion, I/O Psych., Ethics in Soc. Sc., Org. Comm., Eng. 104, Eng. 105, History of Vietnam war, Sp. Ed. History & Law, Diff. Ed., Classroom Mgmt., Foundations of Ed., Abnormal Psych., Rsch. methods in Psych., College Math, Intro. to Geometry., Calculus (6).
Saylor (15): Intro. to Mol. & Cellular Bio., Comp. Politics, Corporate Comm., Env. Ethics, Principles of Comm.
TESU (1): Cornerstone, Lib. 495 Capstone.
CSM (3): Quant. reasoning.
Aleks (6): Trigonometry, Intro to Statistics.
MS-Psychology; Walden University
GPA: 4/4
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