Factoring Expressions

Factor completely: 10 + 15p

• 5(2 + 3p)

• 2(5 + 7.5p)

• 10(1 + 1.5p)

• (5 + 7.5p)(1)

What does it mean to factor completely?

• Factoring completely means breaking down an expression into its simplest factors, where no further factoring is possible.

• Factoring completely means finding the greatest common factor of an expression only.

• Factoring completely means rewriting an expression in exponential form.

• Factoring completely means simplifying an expression to a single term.

Factor the expression: 3x^2 + 6x

• 3x(x + 2)

• x(3x + 6)

• 3(x^2 + 2x)

• 6x(x + 1)

Factor the expression: x^2 - 9

• (x + 3)(x - 3)

• (x + 9)(x - 1)

• (x - 3)(x - 3)

• (x + 1)(x + 9)

How do you factor out the GCF from an expression?

• Identify the largest factor common to all terms, divide each term by the GCF, and write the expression as the GCF multiplied by the resulting expression.

• Add all the terms together and then factor out the smallest term.

• Multiply each term by the GCF and then simplify the expression.

• Subtract the GCF from each term and rewrite the expression.

What is a polynomial?

• A mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.

• A type of equation that only includes constants and no variables.

• A geometric figure defined by a set of points in a plane.

• A sequence of numbers that follows a specific pattern.

What is a monomial?

• A polynomial that contains only one term.

• A polynomial that contains two or more terms.

• A constant value without any variable.

• A polynomial that is always equal to zero.

Factor the expression: 12x - 20

• 4(3x - 5)

• 2(6x - 10)

• 3(4x - 6)

• 6(2x - 3)

Factor completely: 16 + 24x

• 8(2 + 3x)

• 4(4 + 6x)

• 2(8 + 12x)

• 16(1 + 1.5x)

Factor completely: 12 - 4b

• 4(3 - b)

• 2(6 - 2b)

• 4(3 + b)

• 12(1 - b)