Understanding Quadratic Equations

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Algebra II › Understanding Quadratic Equations

Questions 1 - 10
1

Expand:

None of the other answers

Explanation

To multiple these binomials, you can use the FOIL method to multiply each of the expressions individually.This will give you

or .

2

Determine the discriminant:

Explanation

The discriminant is the term inside the square root of the quadratic equation.

The polynomial is provided in standard form .

Substitute the variables into the equation.

The answer is:

3

Solve the expression:

Explanation

Use the FOIL method to simplify this expression.

Multiply each term of the first binomial with the terms of the second binomial.

Simplify the expression.

Combine like terms.

The answer is:

4

Multiply:

Explanation

To multiply these binomials, use FOIL. Remember to multiply the first terms:

Then the outside terms:

Then the inside terms:

And the last terms:

Put those together to get:

Simplify to get your answer:

5

Expand:

None of the other answers

Explanation

To multiple these binomials, you can use the FOIL method to multiply each of the expressions individually.This will give you

or .

6

Determine the discriminant:

Explanation

The discriminant is the term inside the square root of the quadratic equation.

The polynomial is provided in standard form .

Substitute the variables into the equation.

The answer is:

7

Multiply:

Explanation

Use FOIL to multiply these binomials.

First multiply the first terms

,

then the outside terms

,

next the inside terms

,

and finally, the last terms

.

That gives you

.

Combine like terms to get your final answer of

.

8

Multiply:

Explanation

Use FOIL to multiply these binomials.

First multiply the first terms

,

then the outside terms

,

next the inside terms

,

and finally, the last terms

.

That gives you

.

Combine like terms to get your final answer of

.

9

Multiply:

Explanation

To multiply these binomials, use FOIL. Remember to multiply the first terms:

Then the outside terms:

Then the inside terms:

And the last terms:

Put those together to get:

Simplify to get your answer:

10

Solve the expression:

Explanation

Use the FOIL method to simplify this expression.

Multiply each term of the first binomial with the terms of the second binomial.

Simplify the expression.

Combine like terms.

The answer is:

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