Factoring a=1

How can you check if your factored expression is correct?

• By adding the factors together to see if you obtain the original expression.

• By multiplying the factors back together to see if you obtain the original expression.

• By substituting values into the original expression and the factored expression to compare results.

• By graphing the original expression and the factored expression to see if they match.

What is the difference of squares formula?

• a² - b² = (a + b)(a - b)

• a² + b² = (a + b)(a - b)

• a² - b² = (a - b)(a - b)

• a² - b² = (a + b)(a + b)

What is the process to factor k² + 7k + 10?

• (k + 1)(k + 10)

• (k + 2)(k + 5)

• (k + 3)(k + 4)

• (k + 5)(k + 2)

What is the significance of the leading coefficient in a quadratic expression?

• It determines the vertex of the parabola.

• It determines the direction of the parabola and affects its width.

• It indicates the number of real roots of the equation.

• It affects the color of the graph.

What are the steps to factor a quadratic expression?

• 1. Write the expression in standard form. 2. Identify a, b, and c. 3. Find two numbers that multiply to ac and add to b. 4. Rewrite the expression using these numbers. 5. Factor by grouping if necessary.

• 1. Write the expression in standard form. 2. Identify the roots. 3. Use the quadratic formula. 4. Simplify the expression. 5. Verify the factors.

• 1. Write the expression in standard form. 2. Identify a, b, and c. 3. Find the vertex of the parabola. 4. Rewrite the expression in vertex form. 5. Factor by grouping if necessary.

• 1. Write the expression in standard form. 2. Identify a, b, and c. 3. Find the discriminant. 4. Determine the number of real roots. 5. Factor if possible.

What is the relationship between the roots of a quadratic equation and its factors?

• The roots of a quadratic equation are the values of x that make the equation equal to zero, corresponding to the values that make each factor equal to zero.

• The roots of a quadratic equation are always positive numbers.

• The roots of a quadratic equation are the coefficients of the equation.

• The roots of a quadratic equation are unrelated to its factors.

What is the factored form of d² - 10d + 25?

• (d - 5)(d + 5)

• (d - 5)(d - 5)

• (d + 5)(d + 5)

• (d - 5)²

What is the role of the quadratic formula in factoring?

• It is used to find the roots of a quadratic equation, which can help in factoring the expression.

• It simplifies the quadratic equation to a linear equation.

• It provides a graphical representation of the quadratic function.

• It determines the maximum or minimum value of the quadratic expression.

What is a binomial?

• A polynomial with three terms, such as (x + 5 + 2)

• A polynomial with two terms, such as (x + 5) or (d - 3)

• A single term expression, such as (x)

• A polynomial with four terms, such as (x + 1 + y - 2)

How do you factor the expression x² + 9x - 36?

• (x + 12)(x - 3)

• (x + 6)(x + 6)

• (x - 12)(x + 3)

• (x + 9)(x - 4)