For Exercises 40-46, a. List all possible rational roots or rational zeros, b. Use Descartes's Rule of Signs to determine the possible number of positive and negative real roots or real zeros. c Use synthetic division to test the possible rational roots or zeros and find an actual root or zero. d. Use the quotient from part (c) to find all the remaining roots or zeros. f ( x ) = 2 x 4 + x 3 − 9 x 2 − 4 x + 4
For Exercises 40-46, a. List all possible rational roots or rational zeros, b. Use Descartes's Rule of Signs to determine the possible number of positive and negative real roots or real zeros. c Use synthetic division to test the possible rational roots or zeros and find an actual root or zero. d. Use the quotient from part (c) to find all the remaining roots or zeros. f ( x ) = 2 x 4 + x 3 − 9 x 2 − 4 x + 4
Solution Summary: The author calculates the possible rational roots of the polynomial function using a rational zero theorem.
Match the equation, graph, and description of transformation.
Horizontal translation 1
unit right; vertical
translation 1 unit up;
vertical shrink of 1/2;
reflection across the x
axis
Horizontal translation 1
unit left; vertical
translation 1 unit
down; vertical stretch
of 2
Horizontal translation
2 units right; reflection
across the x-axis
Vertical translation 1
unit up; vertical stretch
of 2; reflection across
the x-axis
Reflection across the x
- axis; vertical
translation 2 units
down
Horizontal translation
2 units left
Horizontal translation
2 units right
Vertical translation 1
unit down; vertical
shrink of 1/2; reflection
across the x-axis
Vertical translation 2
units down
Horizontal translation 1
unit left; vertical
translation 2 units up;
vertical stretch of 2;
reflection across the x
- axis
f(x) = -
=-½ ½ (x − 1)²+1
f(x) = x²-2
f(x) = -2(x+1)²+2
f(x)=2(x+1)²-1
f(x)=-(x-2)²
f(x)=(x-2)²
f(x) =
f(x) = -2x²+1
f(x) = -x²-2
f(x) = (x+2)²
What is the vertex, increasing interval, decreasing interval, domain, range, root/solution/zero, and the end behavior?
The augmented matrix of a linear system has been reduced by row operations to the
form shown. Continue the appropriate row operations and describe the solution set of the
original system.
1 -1
0 1 -2
00-4
0-6
0
0
1
- 3
3
0
001
4
Chapter 3 Solutions
Blitzer Algebra And Trigonometry, 6th Edition, 9780134585291, 0134585291, 2018
Introduction to Linear Algebra (Classic Version) (5th Edition) (Pearson Modern Classics for Advanced Mathematics Series)
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