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# Rational Functions - Partial Fraction Decomposition bundle

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204 KB|11 pages
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This bundle contains 5 worksheets:

Partial Fraction Decomposition worksheet 1
This self checking worksheet takes the student through 8 problems. The students are to take a rational fraction such as (x-1)/(x^2+3x+2) and decompose it into two separate fractions: -2/(x+1) + 3/(x+2). The process involves substitution and factoring. When finished, the students will discover a pun.

Partial Fraction Decomposition worksheet 2
This self checking worksheet takes the student through 5 problems. The students are to take a rational fraction such as (-5x^2-6x+48)/(2x^3+7x^2+4x-4) and decompose it into three separate fractions: 7/(2x-1) - 6/(x+2) - 8/(x+2)^2. The students are given the factorization of the denominator. The process involves lots and lots of substitution. When finished, the students will discover the punch line to a riddle.

Partial Fraction Decomposition worksheet 3
This self checking worksheet takes the student through 5 problems. The students are to take a rational fraction such as (7x^2+31x+46)/(x^3+7x^2+17x+35) and decompose it into two separate fractions: 3/(x+5) + (4x+5)/(x^2+2x+7). The denominator is factored for the student. The process involves lots and lots of substitution. This is a different worksheet than Decomposition 2 because the second term is linear, not constant. When finished, the students will discover an Irish Proverb.

Partial Fraction Decomposition worksheet 4
This self checking worksheet takes the student through 7 problems. The students are to take a rational fraction such as (4x^2-20x+21)/(x^2-5x+3)^2 and decompose it into two separate fractions: 4/(x^2-5x+3) + 9/(x^2-5x+3)^2. The process involves substitution and solving 2 equations with 2 unknowns. When finished, the students will discover a piece of advice.

Partial Fraction Decomposition worksheet 5
This self checking worksheet takes the student through 6 problems. The students are to take a rational fraction such as (4x^2+34x+13)/(x^2+9x+2) and decompose it into a constant and a fractions: 4 + (-2x+5)/(x^2+9x+2). The process involves substitution and solving 3 equations with 3 unknowns. When finished, the students will discover a thought from Confucius.

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