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.) 3 x 2 + 37 x − 82 = A x 2 + A x − 12 A + 3 B x 2 − 10 B x + 3 B + 3 C x 2 + 11 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.) 3 x 2 + 37 x − 82 = A x 2 + A x − 12 A + 3 B x 2 − 10 B x + 3 B + 3 C x 2 + 11 C x − 4 C
Solution Summary: The author calculates the constants A and B such that the two polynomials are equal.
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.)
3
x
2
+
37
x
−
82
=
A
x
2
+
A
x
−
12
A
+
3
B
x
2
−
10
B
x
+
3
B
+
3
C
x
2
+
11
C
x
−
4
C
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
Compound Interest Formula Explained, Investment, Monthly & Continuously, Word Problems, Algebra; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=P182Abv3fOk;License: Standard YouTube License, CC-BY
Applications of Algebra (Digit, Age, Work, Clock, Mixture and Rate Problems); Author: EngineerProf PH;https://www.youtube.com/watch?v=Y8aJ_wYCS2g;License: Standard YouTube License, CC-BY