In this lesson, we will learn how to decompose rational expressions into partial fractions when the denominator has nonrepeated irreducible quadratic factors.
Q1:
Express 3𝑥+1(𝑥+4)(𝑥−3) in partial fractions.
Q2:
The expression 3𝑥−2(𝑥+4)(𝑥−3) can be written in the form 𝐴𝑥+𝐵𝑥+4+𝐶𝑥−3. Find the values of 𝐴, 𝐵, and 𝐶.
Q3:
Express 𝑥−3(𝑥+2)(𝑥−1) in partial fractions.
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