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Strategies for Factoring, Note: Search for GCF fist on every problem.,…
Strategies for Factoring
2 Terms
Difference of square
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How to factor: Search for hte square root of each term and put them in a parethseis with positive sign, in the other parenthesis put the same but with negativ sign.
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3 Terms
ax2+bx+c
How to factor: Look for 2 numbers that multiplied give you "c" and added or subtracted is "b", the only thing that changes is the 1st term because has another multiplying it.
Characteristics:1.- Trinomial (written in descending order). 2.- a=/1 3.- 2nd term has the same letter but with half of the exponent. 4.- 3rd term is a number in most cases.
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x2+bx+c
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Characteristics: 1.- Trinomial (written in descending order). 2.- a=1 3.- 2nd term has the same letter but with half of the exponent. 4.- 3rd term is a number in most cases.
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PST
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Characteristics: 1.- 3 Terms (Write in descending order). 2.- The 3rd term is always positive. 3.- The 1st and 3rd term are perfect squares. 4.- The 2nd term is twice the product of both square roots
How to factor: We search for the square root of "a" and square root of "c", and we put it in a parenthesis with a square exponent.
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4 Terms
Grouping
Common Monomyal Factor
How to factor: Search for GCF and put it outside the parenthesis, and search the number that multiplied with the GCF gets the term of the equation.
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Common Polynomial Factor
How to factor: Search for terms that are GCF with other terms. Put a number outside the parenthesis and and the other 2 numbers in, and the umbers in, had to be the ones outside when you multiply them. Finnaly put simiilar terms in one parenthesis and the other 2 terms in another parenthesis.
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