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
Consider the graphs of y = f(x) and y = g(x) in the given diagram
y= f(x).
y = g(x)
Evaluate (f+g)(2) -5
Determine all for which g(x) < f(x)
Determine all for which f(x) +3 = g(x)
I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed.
J) Give the interval(s) of such that g(x) > 0. Use the union symbol between multiple intervals.
K) Give the interval(s) of such that g(x) <0. Use the union symbol between multiple intervals.
A Problem Solving Approach To Mathematics For Elementary School Teachers (13th Edition)
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