Factoring Quadratics

Factor the expression: x² - 10x - 24

• (x - 12)(x + 2)

• (x - 6)(x + 4)

• (x - 8)(x + 3)

• (x - 10)(x + 2)

What is factoring in mathematics?

• Factoring is the process of breaking down an expression into a product of simpler expressions, called factors.

• Factoring is the method of finding the roots of a polynomial equation.

• Factoring involves adding two or more numbers to get a sum.

• Factoring is the process of simplifying an expression by removing variables.

Factor the expression: x² + 5x - 24

• (x + 8)(x - 3)

• (x + 6)(x - 4)

• (x - 8)(x + 3)

• (x + 12)(x - 2)

Factor the expression: x² + 11x + 24

• (x + 6)(x + 4)

• (x + 5)(x + 5)

• (x + 3)(x + 8)

• (x + 2)(x + 12)

What is the zero-product property?

• The zero-product property states that if the product of two factors is zero, then at least one of the factors must be zero.

• The zero-product property states that if the sum of two factors is zero, then both factors must be zero.

• The zero-product property states that if the product of two factors is non-zero, then both factors are non-zero.

• The zero-product property states that if the product of two factors is one, then both factors must be one.

What is the standard form of a quadratic equation?

• ax² + bx + c = 0

• ax² - bx + c = 0

• ax² + b + c = 0

• ax² + bx = 0

What is a quadratic expression?

• A polynomial of degree 1, typically in the form ax + b.

• A polynomial of degree 2, typically in the form ax² + bx + c.

• A polynomial of degree 3, typically in the form ax³ + bx² + cx + d.

• A constant value that does not change.

Factor the expression: x² - 10x + 24

• (x - 6)(x - 4)

• (x - 8)(x - 3)

• (x - 5)(x - 5)

• (x - 12)(x + 2)

Factor the expression: x² + 10x + 24

• (x + 6)(x + 4)

• (x + 8)(x + 3)

• (x + 5)(x + 5)

• (x + 12)(x + 2)

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.

• 1. Identify the roots of the equation. 2. Write the expression in vertex form. 3. Find the discriminant. 4. Simplify the expression using the quadratic formula.

• 1. Write the expression in standard form. 2. Identify the vertex. 3. Find the axis of symmetry. 4. Rewrite the expression in factored form.

• 1. Write the expression in standard form. 2. Identify a, b, and c. 3. Find the vertex. 4. Rewrite the expression using the vertex. 5. Factor by completing the square.