How to solve by factoring when a=1

How to solve by factoring when a=1

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to solve quadratic equations in the form Y = AX^2 + BX + C, where A equals 1. It covers converting the equation from standard form to X intercept form using the zero product property. The process involves setting each factor to zero to find the roots or X intercepts. The tutorial emphasizes a consistent method for solving these equations, regardless of how they are presented.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary goal when solving a quadratic equation in the form Y = AX^2 + BX + C?

To convert the equation into a linear form

To determine the values of X that make the equation equal to zero

To find the maximum value of Y

To eliminate the constant term C

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which property is used to solve quadratic equations by setting factors to zero?

Distributive Property

Associative Property

Commutative Property

Zero Product Property

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in using the Zero Product Property to solve a quadratic equation?

Add a constant to both sides

Multiply all terms by zero

Convert the equation to X intercept form

Isolate the variable X

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When converting a quadratic equation to factored form, what are you ultimately trying to find?

The maximum or minimum value

The zeros or roots of the equation

The axis of symmetry

The vertex of the parabola

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why does the process of solving quadratic equations remain the same regardless of problem structure?

Because the coefficients are always the same

Because the Zero Product Property applies universally

Because the solutions are always integers

Because all quadratics have the same roots