Answers FL-1200700-Mathematics for College Algebra MISAdding and Subtracting Polynomials

Quadratic Functions: Standard Form Answers

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The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

x20

x100

Tempestt graphs a function that has a maximum located at (–4, 2). Which could be her graph?

On a coordinate plane, a parabola opens up. It goes through (negative 6, 6), has a vertex at (negative 4, 2), and goes through (negative 2, 6).

On a coordinate plane, a parabola opens up. It goes through (2, 6), has a vertex at (4, 2), and goes through (6, 6).

On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 2), has a vertex at (negative 4, 2), and goes through (negative 2, negative 2).

On a coordinate plane, a parabola opens down. It goes through (2, negative 2), has a vertex at (4, 2), and goes through (6, negative 2).

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).

(–6, 0), (2,0)

(–2, –16), (0, –12)

(–6, 0), (–2, –16), (2, 0)

(0, –12), (–6, 0), (2, 0)

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Select three options.

The domain is {x|x ≤ –2}.

The range is {y|y ≤ 6}.

The function is increasing over the interval (–∞ , –2).

The function is decreasing over the interval (−4, ∞).

The function has a positive y-intercept.

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options.

The domain of the function is .

The range of the function is all real numbers.

The vertex of the function is .

The function has two x-intercepts.

The function is increasing over the interval (, ∞).

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

(0, –5)

(0, –3)

(0, 3)

(0, 5)

What is the factored form of the polynomial?x2 − 15x + 36

(x − 4)(x − 9)

(x − 3)(x − 12)

(x + 4)(x + 9)

(x + 3)(x + 12)

Which polynomial is prime?

x2 + x + 1

x2 – x – 2

x2 – 12x + 11

x2 + 2x – 8

For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?

The graph will always have zero x-intercepts.

The function will always have a minimum.

The y-intercept will always be the vertex.

The axis of symmetry will always be positive.

The graph of which function has an axis of symmetry at x = 3?

f(x) = x2 + 3x + 1

f(x) = x2 – 3x – 3

f(x) = x2 + 6x + 3

f(x) = x2 – 6x – 1

What is the factorization of 81a6 - 100?

(9a2 − 10)(9a3 + 10)

(9a2 − 10)(9a3 − 10)

(9a3 − 10)(9a3 + 10)

(9a3 − 10)(9a3 − 10)

Rodney models the factorization of a trinomial with algebra tiles as shown.

The variables X, Y, and Z represent polynomials where X = a, Y = 3a – 5, and Z = a2 + 2. What is X2Y – Z in simplest form?

2a2 – 5a – 2

3a3 – 6a2 – 2

–3a3 – 2

–3a2 – 2

Teresa is factoring this polynomial by grouping. Which common factors should be used in the next step of factoring?10x3+3x2−20x−6(10x3+3x2)+(−20x−6)

x2 and −2x

2x2 and −2x

x2 and −2

2x2 and −2

Which diagram represents the factors of m2 – 10m + 16 ?

A 2-column table with 2 rows. First column is labeled m with entries m squared, 4 m. Second column is labeled negative 6 with entries negative 6 m, 16. First row is labeled m with entries m squared, negative 6 m. Second row is labeled 4 with entries 4 m, 16.

A 2-column table with 2 rows. First column is labeled m with entries m squared, 2 m. Second column is labeled negative 8 with entries negative 8 m, 16. First row is labeled m with entries m squared, negative 8 m. Second row is labeled 2 with entries 2 m, 16.

A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 6 m. Second column is labeled negative 4 with entries negative 4 m, 16. First row is labeled m with entries m squared, negative 4 m. Second row is labeled negative 6 with entries negative 6 m, 16.

A 2-column table with 2 rows. First column is labeled m with entries m squared, negative 8 m. Second column is labeled negative 2 with entries negative 2 m, 16. First row is labeled m with entries m squared, negative 2 m. Second row is labeled negative 8 with entries negative 8 m, 16.