Factoring Review Pre-Calculus/Algebra2

Factor completely: 3x² + 5x - 12

• (3x - 4)(x + 3)

• (3x + 4)(x - 3)

• (3x - 6)(x + 2)

• (3x + 6)(x - 2)

What is a binomial?

• A polynomial with exactly two terms.

• A polynomial with three terms.

• A polynomial with one term.

• A polynomial with four terms.

What is synthetic division?

• A simplified method of dividing a polynomial by a linear binomial.

• A technique for factoring quadratic equations.

• A process for finding the roots of a polynomial using derivatives.

• A method for integrating polynomials.

What is the difference of squares formula?

• a² - b² = (a - b)(a + b)

• a² + b² = (a + b)(a - b)

• a² - b² = (a + b)(a + b)

• a² + b² = (a + b)(a + b)

What is a prime polynomial?

• A polynomial that can be factored into simpler polynomials over the integers.

• A polynomial that cannot be factored into simpler polynomials over the integers.

• A polynomial with only one term.

• A polynomial that has a degree of zero.

How do you factor a trinomial of the form ax² + bx + c?

• Look for two numbers that multiply to ac and add to b, then rewrite and factor.

• Use the quadratic formula to find the roots and then factor.

• Add the coefficients of a, b, and c to find the factors.

• Multiply a and c, then find the square root of the result.

What does it mean to factor by grouping?

• Factoring by grouping involves rearranging and grouping terms to factor out common factors.

• Factoring by grouping is a method to solve quadratic equations directly.

• Factoring by grouping requires finding the roots of a polynomial first.

• Factoring by grouping is only applicable to binomials.

Factor Completely: 8x³ - 18x

• 2x(2x + 3)(2x - 3)

• 2x(4x + 9)(2x - 3)

• 2x(2x + 3)(4x - 6)

• 2x(2x - 3)(2x - 3)

What is the greatest common factor (GCF)?

• The smallest factor that divides all terms in a polynomial.

• The largest factor that divides all terms in a polynomial.

• The sum of all factors of a polynomial.

• The product of all terms in a polynomial.

What is factoring in algebra?

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

• Factoring is the method of adding two or more expressions together.

• Factoring involves finding the roots of a polynomial equation.

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