For Exercises 67-68, find the constants A and B so that the two polynomials are equal. (Hint: Create a system of linear equations by equating the constant terms and by equating the coefficients on the x terms and x 2 terms.) 11 x 2 + 26 x − 5 = 2 A x 2 + 5 A x + 3 A + B x 2 − 2 B x − 8 B + 2 C x 2 − 7 C x − 4 C
For Exercises 67-68, find the constants A and B so that the two polynomials are equal. (Hint: Create a system of linear equations by equating the constant terms and by equating the coefficients on the x terms and x 2 terms.) 11 x 2 + 26 x − 5 = 2 A x 2 + 5 A x + 3 A + B x 2 − 2 B x − 8 B + 2 C x 2 − 7 C x − 4 C
Solution Summary: The author explains how to calculate the constants, A and B, such that the polynomial is satisfied, and creates a system linear equation by equating the coefficients in the
For Exercises 67-68, find the constants
A
and
B
so that the two polynomials are equal. (Hint: Create a system of linear equations by equating the constant terms and by equating the coefficients on the
x
terms and
x
2
terms.)
11
x
2
+
26
x
−
5
=
2
A
x
2
+
5
A
x
+
3
A
+
B
x
2
−
2
B
x
−
8
B
+
2
C
x
2
−
7
C
x
−
4
C
1. One of the partial fractions for
2
4x²+x-9
x3+2x²-3x
2
x+1
a) x23 b) x 1½ c) x² d)
x-1
x
is
1. One of the partial fractions for
2
2
4x²+x-9
x3+2x²-3x
a) x3 b) x11 c) x² d) z
x-1
2. Identify the improper integral.
1 x
2 x
dx
a) 3x dx b) f² 3x dx
0 3-2x
0 3-2x
x
is
c) √2^:
4
√232x dx d) fo² 3x dx
1 1
0 3-2x
B. So eax dx converges to
if
:
a) O if a0 c) - 1½ ifa 0
Complete the square and find the indefinite integral. (Remember to use absolute values where appropriate. Use C for the
constant of integration.)
dx
x²-12x+27
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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