Answers BCHS - Common Core Math III ASolving Polynomial Equations using Technology

Solving Polynomial Equations using Technology — Unit test Answers

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Which second degree polynomial function has a leading coefficient of 2 and roots –3 and 5?

f(x) = 2x2 + 4x – 30

f(x) = 2x2 + 2x – 15

f(x) = 2x2 – 4x – 30

f(x) = 2x2 – 2x – 15

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One root of a third degree polynomial function f(x) is –5 + 2i. Which statement describes the number and nature of all roots for this function?

f(x) has two real roots and one imaginary root.

f(x) has two imaginary roots and one real root.

f(x) has three imaginary roots.

f(x) has three real roots.

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).

Which expression is equivalent to 9x – (x – 8)(x + 1) + 10x?

Option

If 5 + 6i is a root of the polynomial function f(x), which of the following must also be a root of f(x)?

–5 – 6i

5 – 6i

6 – 5i

6 + 5i

A polynomial function has a root of –6 with multiplicity 3 and a root of 2 with multiplicity 4. If the function has a negative leading coefficient and is of odd degree, which could be the graph of the function?

Option

Which expression is equivalent to 4 – (2m – 3)?

4 – 2m – 3

4 – 2m + 3

–8m + 3

–8m + 12

A bungee jumper falls 97.2 feet before bouncing back up at the end of his bungee cord. Then he falls 64.8 feet before bouncing up again. On his third descent, he falls 43.2 feet before going back up. What is the total distance the bungee jumper drops after five falls if the distances continue in this pattern? (Do not include the distance traveled up.)

234.0 ft

253.2 ft

789.8 ft

1,281.8 ft

Which of the following is the complete list of roots for the polynomial function ?

–5, 3

–5, 3, –4 + i, –4 – i

–5, 3, –4 + i, 4 + i

–4 + i, –4 – i

What are the solutions of the equation x4 – 5x2 – 36 = 0? Use factoring to solve.

x = ±2 and x = ±3

x = ±2i and x = ±3

x = ±2 and x = ±3i

x = ±2i and x = ±3i

Which polynomial function could be represented by the graph below?

f(x) = x2 + x – 2

f(x) = 2x2 + 2x – 4

f(x) = x2 – x – 2

f(x) = 2x2 –2x – 4

What are the solutions of the equation (x + 2)2 + 12(x + 2) – 14 = 0? Use u substitution and the quadratic formula to solve.

x = negative 8 plus-or-minus 5 StartRoot 2 EndRoot

x = negative 6 plus-or-minus 5 StartRoot 2 EndRoot

x = negative 4 plus-or-minus 5 StartRoot 2 EndRoot

x = negative 2 plus-or-minus 5 StartRoot 2 EndRoot

Which second degree polynomial function f(x) has a lead coefficient of 3 and roots 4 and 1?

f(x) = 3x2 + 5x + 4

f(x) = 3x2 + 15x + 12

f(x) = 3x2 – 5x + 4

f(x) = 3x2 – 15x + 12

According to the Rational Root Theorem, the following are potential roots of f(x) = 6x4 + 5x3 – 33x2 – 12x + 20., –2, 1, Which is an actual root of f(x)?