University:
Western Governors University
Course:
D183 | Designing Curriculum I
Academic year:

2024
Views:

54

Pages:

1
Author:

rezancuk2j

Factoring Cheat Sheet Step 1) Rearrange polynomial terms so that the degree, the exponent of the term, goes from largest to smallest. For example, the polynomial 4x + 2x ^ 2 + 4 should be rearranged to 2x ^ 2 + 4x + 4 Decide how many terms your polynomial contains. 4 Factor using grouping after factoring a greatest common factor (GCF) out if needed. For example, x ^ 3 + 3x - 2x ^ 2 - 6 -> (x ^ 3 + 3x) + (- 2x ^ 2 - 6) -> x(x ^ 2 + 3) - 2(x ^ 2 + 3) -> (x - 2)(x ^ 2 + 3) 2 3 Factor out the GCF. For example, 4x ^ 4 + 2x GCF is 2x and after we factor it out and we're left with (2x ^ 3 + 1) so the factored form is 2x(2x ^ 3 + 1) Is the leading coefficient 1? (The number in front of the variable) YES NO Factor using conventional method. For example, x ^ 2 - 6x + 8 we need two numbers with the product of 8 and sum of-6, those two numbers are -4 and -2, so x ^ 2 - 6x + 8 -> (x - 4)(x - 2) Factor out the GCF, if the leading coefficient is -1, factor it out. YES Is there a GCF? NO Use the AC method: p(x) = 3x ^ 2 - 8x + 4 Multiply the leading coefficient by the third coefficient, 3 * 4 = 12 So we need two numbers with the product of 12 and sum of -8, those two numbers are -6 and -2, so we (3x ^ 2 - 6x) + (- 2x + 4) and then factor out the GCF of each group (3x ^ 2 - 6x) + (- 2x + 4) -> 3x(x - 2) - 2(x - 2) then GCF of the two terms and we end with (3x - 2)(x - 2)

Factoring Cheat Sheet

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