Factoring Expressions

What does it mean to factor a quadratic expression?

• Rewriting it as a sum of two numbers.

• Rewriting it as a product of two binomials.

• Finding the roots of the quadratic equation.

• Dividing the quadratic expression by a linear expression.

What is the greatest common factor (GCF)?

• The smallest multiple that two or more numbers share.

• The largest factor that two or more numbers share.

• The sum of two or more numbers.

• The difference between the largest and smallest numbers.

Factor: x^2 - 9

• (x - 3)(x + 3)

• (x - 9)(x + 1)

• (x - 6)(x + 6)

• (x - 4)(x + 4)

What is a binomial?

• A polynomial with three terms.

• A polynomial with two terms.

• A polynomial with one term.

• A polynomial with four terms.

Factor: 3x + 9

• 3(x + 2)

• 3(x + 3)

• 3(x + 4)

• 3(x + 1)

Factor: 8x^3 + 4x^2

• 4x^2(2x + 1)

• 2x(4x^2 + 2)

• 8x^2(1 + x)

• 4(2x^3 + x^2)

Factor: 2x + 18

• 2(x + 9)

• 2(x + 8)

• 2(x + 10)

• 2(x + 7)

Factor: 12x - 20

• 4(3x - 5)

• 3(4x - 5)

• 2(6x - 10)

• 6(2x - 5)

Factor: 4x + (-30y)

• 2(2x - 15y)

• 4(1x - 7.5y)

• 2(2x + 15y)

• 4(1x + 7.5y)

What is factoring in algebra?

• Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

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

• Factoring involves simplifying an expression by removing all variables.

• Factoring is the technique of rewriting an expression in exponential form.