Algebra: Factoring Trinomials Review & Bonus

How do you factor a trinomial of the form ax^2 + bx + c?

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

• Use the quadratic formula to find the roots.

• Complete the square to rewrite the trinomial.

• Factor by grouping the first and last terms.

What is the factored form of 3x^2 - 2x?

• x(3x - 2)

• 3x(x - 2/3)

• (3x^2 - 2)(1)

• 3(x^2 - 2/3)

How do you find the GCF of 5x^2 and 20x?

• 5x

• 10x

• x

• 5x^2

What is the factored form of x^2 - 4?

• (x - 2)(x + 2) - This is a difference of squares.

• (x - 4)(x + 1) - This is a sum of squares.

• (x - 2)(x - 2) - This is a perfect square.

• (x + 4)(x - 1) - This is a product of binomials.

Fully factor the expression: 25x^2 - 81.

• (5x + 9)(5x - 9) - This is also a difference of squares.

• (5x + 9)(5x + 9)

• (25x + 9)(x - 9)

• (5x - 9)(5x - 9)

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

• (x + 1)(x + 6)

• (x + 2)(x + 3)

• (x + 3)(x + 2)

• (x + 4)(x + 2)

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

• 2x(x + 4)

• 2(x^2 + 4x)

• x(2x + 8)

• 4(2x + 2)

What is the purpose of factoring in algebra?

• To simplify expressions, solve equations, and find roots of polynomials.

• To create complex equations that are difficult to solve.

• To convert algebraic expressions into geometric shapes.

• To eliminate variables from equations.

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 adding two or more expressions together to form a new expression.

• Factoring is the technique of finding the roots of a polynomial equation by using derivatives.

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

What is the first step in factoring a polynomial?

• Look for the GCF (Greatest Common Factor) of the terms.

• Identify the degree of the polynomial.

• Rearrange the terms in descending order.

• Apply the quadratic formula.