If 4x² - 100 = 0 , the roots of the equation are

-25 and 25

-25 only

-5 and 5

-5 only

1

Which equation is equivalent to y - 34 = x(x - 12) ?

y = (x - 17)(x + 2)

y = (x - 17)(x - 2)

y = (x - 6)² + 2

y = (x - 6)² - 2

1

Which value of x is a solution to the equation 13 - 36x² = -12 ?

1

What is the solution set of the equation (x - 2)(x - a) = 0 ?

-2 and a

-2 and -a

2 and a

2 and -a

1

How many real-number solutions does 4x² + 2x + 5 = 0 have ?

one

two

zero

infinitely many

1

Keith determines the zeros of the function f(x) to be -6 and 5. What could be Keith's function?

f(x) = (x + 5)(x + 6)

f(x) = (x + 5)(x - 6)

f(x) = (x - 5)(x + 6)

f(x) = (x - 5)(x - 6)

1

I only

II only

I and II

II and III

1

The graphs below represent functions defined by polynomials. For which function are the zeros of the polynomials 2 and −3?

null

1

2

3

4

1

A only

B only

A and C only

A, B, and C

1

Which polynomial function has zeros at -3, 0, and 4 ?

f(x) = (x + 3)(x² + 4)

f(x) = (x² - 3)(x - 4)

f(x) = x(x + 3)(x - 4)

f(x) = x(x - 3)(x + 4)

1

For which function defined by a polynomial are the zeros of the polynomial -4 and -6 ?

1

The zeros of the function f(x) = 3x² - 3x - 6 are

-1 and -2

1 and -2

1 and 2

-1 and 2

1

2

3

4

You must show work for the following questions.

1

Write an equation that defines m(x) as a trinomial where m(x) = (3x - 1)(3 - x) + 4x² + 19.
Solve for x when m(x) = 0. Work must be shown below to support your answer.

1

In the equation x² + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possible values of b.
Use the work area below if needed.

0

Solve x² - 8x - 9 = 0 algebraically. Explain the first step you used to solve the given equation. You may write your in the work space below.

1

Solve 5x² = 180 agebraically.

1

If the zeros of a quadratic function F, are 2 and -6, what is the equation of the axis of symmetry of F ? Show all work below to justify your answer.

1

Determine algebraically the zeros of f(x) = 3x³ + 21x² + 36x. Show all work below. Write your answer in the blank using { }

0

Please upload pictures of your work if you didn't use the space provided.

0

Please upload pictures of your work if you didn't use the space provided.

0

Please upload pictures of your work if you didn't use the space provided.

0

Regents Factoring & Roots Questions

You must show work for the following questions.

Regents Factoring & Roots Questions

If 4x2 - 100 = 0 , the roots of the equation are

Which equation is equivalent to y - 34 = x(x - 12) ?

Which value of x is a solution to the equation 13 - 36x2 = -12 ?

What is the solution set of the equation (x - 2)(x - a) = 0 ?

How many real-number solutions does 4x2 + 2x + 5 = 0 have ?

Keith determines the zeros of the function f(x) to be -6 and 5. What could be Keith's function?

The graphs below represent functions defined by polynomials. For which function are the zeros of the polynomials 2 and −3?

Which polynomial function has zeros at -3, 0, and 4 ?

For which function defined by a polynomial are the zeros of the polynomial -4 and -6 ?

The zeros of the function f(x) = 3x2 - 3x - 6 are

You must show work for the following questions.

Write an equation that defines m(x) as a trinomial where m(x) = (3x - 1)(3 - x) + 4x2 + 19. Solve for x when m(x) = 0. Work must be shown below to support your answer.

In the equation x2 + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possible values of b. Use the work area below if needed.

Solve x2 - 8x - 9 = 0 algebraically. Explain the first step you used to solve the given equation. You may write your in the work space below.

Solve 5x2 = 180 agebraically.

If the zeros of a quadratic function F, are 2 and -6, what is the equation of the axis of symmetry of F ? Show all work below to justify your answer.

Determine algebraically the zeros of f(x) = 3x3 + 21x2 + 36x. Show all work below. Write your answer in the blank using { }

Please upload pictures of your work if you didn't use the space provided.

Please upload pictures of your work if you didn't use the space provided.

Please upload pictures of your work if you didn't use the space provided.

Please upload pictures of your work if you didn't use the space provided.

If 4x2 - 100 = 0 , the roots of the equation are

Which equation is equivalent to y - 34 = x(x - 12) ?

Which value of x is a solution to the equation 13 - 36x2 = -12 ?

What is the solution set of the equation (x - 2)(x - a) = 0 ?

How many real-number solutions does 4x2 + 2x + 5 = 0 have ?

Keith determines the zeros of the function f(x) to be -6 and 5. What could be Keith's function?

The graphs below represent functions defined by polynomials. For which function are the zeros of the polynomials 2 and −3?

Which polynomial function has zeros at -3, 0, and 4 ?

For which function defined by a polynomial are the zeros of the polynomial -4 and -6 ?

The zeros of the function f(x) = 3x2 - 3x - 6 are

Write an equation that defines m(x) as a trinomial where m(x) = (3x - 1)(3 - x) + 4x2 + 19. Solve for x when m(x) = 0. Work must be shown below to support your answer.

In the equation x2 + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possible values of b. Use the work area below if needed.

Solve x2 - 8x - 9 = 0 algebraically. Explain the first step you used to solve the given equation. You may write your in the work space below.

Solve 5x2 = 180 agebraically.

If the zeros of a quadratic function F, are 2 and -6, what is the equation of the axis of symmetry of F ? Show all work below to justify your answer.

Determine algebraically the zeros of f(x) = 3x3 + 21x2 + 36x. Show all work below. Write your answer in the blank using { }

Please upload pictures of your work if you didn't use the space provided.

Please upload pictures of your work if you didn't use the space provided.

Please upload pictures of your work if you didn't use the space provided.

Please upload pictures of your work if you didn't use the space provided.

If 4x² - 100 = 0 , the roots of the equation are

Which value of x is a solution to the equation 13 - 36x² = -12 ?

How many real-number solutions does 4x² + 2x + 5 = 0 have ?

The zeros of the function f(x) = 3x² - 3x - 6 are

Write an equation that defines m(x) as a trinomial where m(x) = (3x - 1)(3 - x) + 4x² + 19.
Solve for x when m(x) = 0. Work must be shown below to support your answer.

In the equation x² + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possible values of b.
Use the work area below if needed.

Solve x² - 8x - 9 = 0 algebraically. Explain the first step you used to solve the given equation. You may write your in the work space below.

Solve 5x² = 180 agebraically.

Determine algebraically the zeros of f(x) = 3x³ + 21x² + 36x. Show all work below. Write your answer in the blank using { }

If 4x² - 100 = 0 , the roots of the equation are

Which value of x is a solution to the equation 13 - 36x² = -12 ?

How many real-number solutions does 4x² + 2x + 5 = 0 have ?

The zeros of the function f(x) = 3x² - 3x - 6 are

Write an equation that defines m(x) as a trinomial where m(x) = (3x - 1)(3 - x) + 4x² + 19.
Solve for x when m(x) = 0. Work must be shown below to support your answer.

In the equation x² + 10x + 24 = (x + a)(x + b), b is an integer. Find algebraically all possible values of b.
Use the work area below if needed.

Solve x² - 8x - 9 = 0 algebraically. Explain the first step you used to solve the given equation. You may write your in the work space below.

Solve 5x² = 180 agebraically.

Determine algebraically the zeros of f(x) = 3x³ + 21x² + 36x. Show all work below. Write your answer in the blank using { }