For the polynomial function g ( x ) = 2 x 3 + 5 x 2 − 28 x − 15 , Determine the maximum number of real zeros that the function may have. List the potential rational zeros. Determine the real zeros of g . Factor g over the reals. Find the x − and y − intercepts of the graph of g . Determine whether the graph crosses or touches the x –axis at each x –intercept. Find the power function that the graph of g resembles for large value of | x | . Put all the information together to obtain the graph of g .
For the polynomial function g ( x ) = 2 x 3 + 5 x 2 − 28 x − 15 , Determine the maximum number of real zeros that the function may have. List the potential rational zeros. Determine the real zeros of g . Factor g over the reals. Find the x − and y − intercepts of the graph of g . Determine whether the graph crosses or touches the x –axis at each x –intercept. Find the power function that the graph of g resembles for large value of | x | . Put all the information together to obtain the graph of g .
Solution Summary: The author determines the maximum number of real zeros of the function g(x) = 2.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Chapter 3 Solutions
Mylab Math With Pearson Etext -- 24-month Standalone Access Card -- For Precalculus: Concepts Through Functions, A Unit Circle Approach To Trigonometry, A Corequisite Solution (4th Edition)
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