AnswersCR - Algebra 2 26-27 - S1Quadratic in Form Polynomials

Solving Polynomial Equations using Technology Answers

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1
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Which equation can be solved by using this system of equations?

Question illustration
A
3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 = 0
Option A
B
3 x Superscript 5 Baseline minus 5 x cubed + 2 x squared minus 10 x + 4 = 4 x Superscript 4 Baseline + 6 x cubed minus 11
Option B
C
3 x Superscript 5 Baseline + 4 x Superscript 4 Baseline + x cubed + 2 x squared minus 10 x minus 7 = 0
Option C
D
4 x Superscript 4 Baseline + 6 x cubed minus 11 = 0
Option D
2
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Which equation can be solved by using this system of equations?

Question illustration
A
3 x cubed minus 7 x squared + 5 = 0
Option A
B
3 x cubed minus 7 x squared + 5 = 7 x Superscript 4 Baseline + 2 x
Option B
C
7 x Superscript 4 Baseline + 2 x = 0
Option C
D
7 x Superscript 4 Baseline + 3 x cubed minus 7 x squared + 2 x + 5 = 0
Option D
6

A party-favor bag must have a volume of 140 cubic inches and the dimensions that are shown below. The equation can be used to find x. What are the dimensions of the party-favor bag? Use a graphing calculator and a system of equations to find the answer.

Question illustration
A
The length is 7 inches, the width is 4 inches, and the height is 16 inches.
B
The length is 5 inches, the width is 2 inches, and the height is 14 inches.
C
The length is 4 inches, the width is 1 inch, and the height is 13 inches.
D
The length is 3 inches, the width is 0 inches, and the height is 12 inches.
7

Josh graphs a system of equations to determine the roots of the polynomial equation . From the graph, he determines that there are two solutions to the equation. Which statement is true?

Question illustration
A
He is correct because the graph shows two intersection points.
B
He is correct because the least exponent of the system is two so there must be two solutions.
C
He is not correct because the greatest exponent of the system is five so there must be five solutions, three of which must be multiplicities or complex.
D
He is not correct because the difference of the exponents is three, so there must be three solutions, one of which is a multiplicity.
8

The graph shows the system of equations that can be used to solve .Which statement describes the roots of this equation?

Question illustration
A
1 rational root and 2 complex roots
B
1 rational root and 2 irrational roots
C
3 irrational roots
D
3 rational roots
9

Which system of equations can be used to find the roots of the equation ?

Question illustration
A
StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x 2nd row y = 2 x squared + x + 6 EndLayout
Option A
B
StartLayout Enlarged left-brace 1st Row y = 12 x cubed minus 5 x + 6 2nd row y = 2 x squared + x EndLayout
Option B
C
StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x 2nd row y = 6 EndLayout
Option C
D
StartLayout Enlarged left-brace 1st Row y = 12 x cubed + 2 x squared minus 4 x + 6 2nd row y = 0 EndLayout
Option D

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