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Converting Standard Form to Factored Form

Converting Standard Form to Factored Form

Assessment

Interactive Video

•

Mathematics

•

9th Grade

•

Hard

Created by

Curtis Collins

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What information about a quadratic equation can be directly identified from its standard form, y = Ax² + Bx + C?

The x-intercepts

The vertex

The y-intercept

The slope

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What information about a quadratic equation can be directly identified from its factored form, y = A(x-p)(x-q)?

The y-intercept

The vertex

The axis of symmetry

The x-intercepts

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary mathematical operation required to convert a quadratic equation from standard form to factored form?

Completing the square

Using the quadratic formula

Factoring

Finding the vertex

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When converting the quadratic equation f(x) = 2x² - 4x - 30 to factored form, what is the first step?

Identify the y-intercept as -30

Factor out the greatest common factor (GCF)

Use the product-sum method directly

Find the vertex of the parabola

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When factoring the expression x^2 - 16x + 60, what two numbers multiply to 60 and add to -16?

-6 and -10

6 and 10

-4 and -15

-5 and -12

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

For the quadratic function f(x) = -x^2 + 16x - 60, what are its x-intercepts and y-intercept?

x-intercepts: 6 and 10; y-intercept: -60

x-intercepts: -6 and -10; y-intercept: 60

x-intercepts: 6 and 10; y-intercept: 60

x-intercepts: -6 and -10; y-intercept: -60

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following represents the factored form of f(x) = 2x^2 + 3x + 1 before converting to proper factored form?

(2x - 1)(x - 1)

(2x + 1)(x + 1)

(2x + 1)(x - 1)

(2x - 1)(x + 1)

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