PRECALCULUS:GRAPHICAL,...-NASTA ED.
PRECALCULUS:GRAPHICAL,...-NASTA ED.
10th Edition
ISBN: 9780134672090
Author: Demana
Publisher: PEARSON
Expert Solution & Answer
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Chapter A.2, Problem 71E
Solution

To factor by grouping x63x4+x23 .

  x4+1x23

Given:

The expression, x63x4+x23

Concept Used:

  • Like terms are the terms that contain the same variable with similar exponents on it. Constants are like terms as well.
  • In any expression, terms are separated by plus or minus signs.
  • Coefficients are the constants in front of the variable terms.

Calculation:

In order to find the factor by grouping, first group the first two terms and the last two terms and then factor out the greatest common factor from each group and then factor the polynomial by factoring out the greatest common factor, x23 as shown below:

  x63x4+x23x63x4+x23x4x23+1x23x4+1x23

The original expression now become

  x4+1x23

Chapter A.2 Solutions

PRECALCULUS:GRAPHICAL,...-NASTA ED.

Ch. A.2 - Prob. 11ECh. A.2 - Prob. 12ECh. A.2 - Prob. 13ECh. A.2 - Prob. 14ECh. A.2 - Prob. 15ECh. A.2 - Prob. 16ECh. A.2 - Prob. 17ECh. A.2 - Prob. 18ECh. A.2 - Prob. 19ECh. A.2 - Prob. 20ECh. A.2 - Prob. 21ECh. A.2 - Prob. 22ECh. A.2 - Prob. 23ECh. A.2 - Prob. 24ECh. A.2 - Prob. 25ECh. A.2 - Prob. 26ECh. A.2 - Prob. 27ECh. A.2 - Prob. 28ECh. A.2 - Prob. 29ECh. A.2 - Prob. 30ECh. A.2 - Prob. 31ECh. A.2 - Prob. 32ECh. A.2 - Prob. 33ECh. A.2 - Prob. 34ECh. A.2 - Prob. 35ECh. A.2 - Prob. 36ECh. A.2 - Prob. 37ECh. A.2 - Prob. 38ECh. A.2 - Prob. 39ECh. A.2 - Prob. 40ECh. A.2 - Prob. 41ECh. A.2 - Prob. 42ECh. A.2 - Prob. 43ECh. A.2 - Prob. 44ECh. A.2 - Prob. 45ECh. A.2 - Prob. 46ECh. A.2 - Prob. 47ECh. A.2 - Prob. 48ECh. A.2 - Prob. 49ECh. A.2 - Prob. 50ECh. A.2 - Prob. 51ECh. A.2 - Prob. 52ECh. A.2 - Prob. 53ECh. A.2 - Prob. 54ECh. A.2 - Prob. 55ECh. A.2 - Prob. 56ECh. A.2 - Prob. 57ECh. A.2 - Prob. 58ECh. A.2 - Prob. 59ECh. A.2 - Prob. 60ECh. A.2 - Prob. 61ECh. A.2 - Prob. 62ECh. A.2 - Prob. 63ECh. A.2 - Prob. 64ECh. A.2 - Prob. 65ECh. A.2 - Prob. 66ECh. A.2 - Prob. 67ECh. A.2 - Prob. 68ECh. A.2 - Prob. 69ECh. A.2 - Prob. 70ECh. A.2 - Prob. 71ECh. A.2 - Prob. 72ECh. A.2 - Prob. 73ECh. A.2 - Prob. 74ECh. A.2 - Prob. 75ECh. A.2 - Prob. 76ECh. A.2 - Prob. 77ECh. A.2 - Prob. 78ECh. A.2 - Prob. 79ECh. A.2 - Prob. 80ECh. A.2 - Prob. 81ECh. A.2 - Prob. 82ECh. A.2 - Prob. 83ECh. A.2 - Prob. 84ECh. A.2 - Prob. 85ECh. A.2 - Prob. 86ECh. A.2 - Prob. 87ECh. A.2 - Prob. 88ECh. A.2 - Prob. 89ECh. A.2 - Prob. 90ECh. A.2 - Prob. 91E
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