Factoring Expressions

Factor the expression: 6p - 36

• 6(p - 6)

• 2(3p - 18)

• 3(2p - 12)

• 6(p + 6)

Factor completely: 16 + 24x

• 8(2 + 3x)

• 4(4 + 6x)

• 2(8 + 12x)

• 16(1 + 1.5x)

How do you factor a difference of squares?

• a^2 - b^2 = (a - b)(a + b)

• a^2 + b^2 = (a + b)(a - b)

• a^2 - b^2 = (a + b)(a + b)

• a^2 - b^2 = (a - b)(a - b)

True or False? 2x + 6 = 2(x + 3)

• True

• False

• Not enough information

• Only true for certain values of x

Factor the expression: 21x - 36

• 3(7x - 12)

• 7(3x - 6)

• 21(x - 2)

• 3(21x - 36)

What is the factored form of 2x^2 + 8x?

• 2x(x + 4)

• 2(x^2 + 4x)

• x(2x + 8)

• 4(2x + 2x)

What is a trinomial?

• A polynomial with exactly two terms.

• A polynomial with exactly three terms.

• A polynomial with no terms at all.

• A polynomial with four or more terms.

What is the purpose of factoring expressions?

• To make expressions more complex

• To simplify expressions, making it easier to solve equations and understand their properties.

• To eliminate variables from equations

• To convert expressions into decimal form

What does it mean to factor an expression 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.

• Factoring completely means rewriting an expression in decimal form.

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

Factor: 4x + 30y

• 2(2x + 15y)

• 4(1x + 7.5y)

• (2x + 15y) + (2x + 15y)

• (4x + 30y) / 2