Answers PBCSD_Grade_Forgiveness_1200330_Algebra 2_S1_2024Solving Polynomial Equations using Technology

Solving Polynomial Equations using Technology — Unit test Answers

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Which graph represents the function ?

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1, and the other curve opens down and to the left in quadrant 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = negative 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrants 1 and 4, and the other curve opens down and to the left in quadrants 2 and 3. A vertical asymptote is at x = negative 3, and the horizontal asymptote is at y = 2.

On a coordinate plane, a hyperbola is shown. One curve opens up and to the right in quadrant 1 , and the other curve opens down and to the left in quadrants 2, 1, and 4. A vertical asymptote is at x = 3, and the horizontal asymptote is at y = 2.

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If (x – 5) is a factor of f(x), which of the following must be true?

A root of f(x) is x = –5.

A root of f(x) is x = 5.

Both x = –5 and x = 5 are roots of f(x).

Neither x = –5 nor x = 5 is a root of f(x).

Which expression is equivalent to ? Assume .

StartFraction 25 p Superscript 10 Baseline Over 4 q Superscript 8 Baseline EndFraction

StartFraction 2 q Over 5 p Superscript 5 Baseline EndFraction

StartFraction p Superscript 7 Baseline q Over 160 EndFraction

StartFraction 125 p Superscript 11 Baseline q Over 2 EndFraction

Lupe can ride her bike at a rate of 20 mph when there is no wind. On one particular day, she rode 2 miles against the wind and noticed that it took her the same amount of time as it did to ride 3 miles with the wind. How fast was the wind blowing that day?

4 mph

7 mph

10 mph

12 mph

The area of a rectangle is (x3 – 5x2 + 3x – 15), and the width of the rectangle is (x2 + 3). If area = length × width, what is the length of the rectangle?

x + 5

x – 15

x + 15

x – 5

What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

As , and as , .

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

–2, –1, 0, 2

–2, 0, 1, 2

–1, 0

0, 1

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

The graph of the function is positive on (2, 4).

The graph of the function is negative on (4, ).

The graph of the function is positive on (, –7).

The graph of the function is negative on (–7, –1).

A rectangular prism with a volume of 400 cubic centimeters has the dimensions x + 1 centimeters, 2x centimeters, and x + 6 centimeters. The equation can be used to find x. What is the length of the longest side? Use a graphing calculator and a system of equations to find the answer.

4 centimeters

5 centimeters

8 centimeters

10 centimeters

What are the roots of the polynomial equation ? Use a graphing calculator and a system of equations.

–24, –3, 12

–12, 3, 24

–4, –2, 3

–3, 2, 4

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Solving Polynomial Equations using Technology — Unit test Answers

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