Factoring Polynomials Mixed Review

What is the greatest common factor (GCF)?

• The smallest number that divides two or more numbers.

• The largest factor that divides two or more numbers or terms without leaving a remainder.

• The sum of all factors of a number.

• The product of two numbers.

How do you factor the trinomial @@ax^2 + bx + c@@?

• Find two numbers that multiply to @@b@@ and add to @@ac@@, then rewrite the middle term.

• Find two numbers that multiply to @@ac@@ and add to @@b@@, then rewrite the middle term and factor by grouping.

• Multiply @@a@@, @@b@@, and @@c@@ together and then factor out the greatest common factor.

• Use the quadratic formula to find the roots and then express the trinomial as a product of its factors.

What is a trinomial?

• A polynomial that consists of exactly three terms, such as @@x^2 + 5x + 6@@.

• A polynomial that consists of two terms, such as @@x^2 + 5@@.

• A polynomial that consists of four terms, such as @@x^2 + 5x + 6 + 7@@.

• A polynomial that consists of only one term, such as @@x^2@@.

What is the factored form of @@7x^2 + 4x - 3@@?

• @@7x^2 + 4x - 3@@

• @@(7x - 3)(x + 1)@@

• @@(7x + 3)(x - 1)@@

• @@(x + 3)(7x - 1)@@

What is the factored form of @@9x^2 - 25@@?

• (3x - 5)(3x + 5)

• (9x - 5)(x + 5)

• (3x - 1)(3x + 1)

• (9x + 5)(x - 5)

What is the factored form of @@6x^2 + 5x - 6@@?

• (3x - 2)(2x + 3)

• (2x - 3)(3x + 2)

• (6x + 1)(x - 6)

• (3x + 2)(2x - 3)

What is a binomial?

• A polynomial that consists of exactly two terms, such as @@x + 5@@ or @@3x^2 - 2x@@

• A polynomial that consists of three terms, such as @@x^2 + 3x + 5@@

• A single term polynomial, such as @@5x@@

• A polynomial that consists of more than two terms, such as @@x^3 + 2x^2 + x + 1@@

What is the factored form of (x² + 7x - 30)

• (x + 10)(x - 3)

• (x + 5)(x + 6)

• (x - 10)(x + 3)

• (x + 15)(x - 2)