Concept explainers
Skill Practice
Set up the form for the partial fraction decomposition for the given rational expressions.
a.
b.
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COLLEGE ALGEBRA CUSTOM -ALEKS ACCESS
- You are unsure if you correctly decomposed the partial fraction correctly. Explain how you could double check your answer.arrow_forwardSelf Check Decompose 2x+2xx+2 into partial fractions.arrow_forwardFind the partial fraction decomposition of the expression with a nonrepeating irreducible quadratic factor. 5x26x+7(x1)(x2+1)arrow_forward
- HOW DO YOU SEE IT? Identify the graph of the rational function and the graph representing each partial fraction of its partial fraction decomposition. Then state any relationship between the vertical asymptotes of the graph of the rational function and the vertical asymptotes of the graphs representing the partial fractions of the decomposition. To print an enlarged copy of the graph. (a) y=x12xx4 (b) y=24x3x29 =3x2x4 = 3x3+5x+3arrow_forwardWrite the partial fraction decomposition of the improper rational expression. x3 - 5x2 - 7x – 10 x² - 6x - 7arrow_forwardwhich is the right answer?arrow_forward
- Write the partial fraction decomposition for the rational expression. Check your result algebraically. 1 25x2 - 64 Step 1 Decompose the original expression into a sum of fractions involving the constants A and B by factoring the denominator of the original expression. A 25x2 - 64 8 + X -arrow_forwardWrite the partial fraction decomposition of the improper rational expression. x3 - 5x2 - 7x - 10 x2 — 6х — 7 Step 1 The given rational expression is improper. Use long division and write the expression using the quotient and remainder. x3 - 5x2 - 7x – 10 x2 - бх — 7 (O)x -C = x + х2 - бх — 7arrow_forwardx2+x+1 Use partial fractions. 2x2+2+x3+xarrow_forward
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