Factoring Binomials Linear

Which of the following is a correct rewriting or form of the binomial, x² - 169 ?

• (x + 13) (x - 13)

• (x + 13)²

• (x - 14) (x - 13)

• All of the above

What are the steps involved in factoring quadratics?

• The steps involved in factoring quadratics are: 1. Multiply the quadratic equation by a constant. 2. Divide the quadratic equation by a constant. 3. Add the constant term to both sides of the equation. 4. Subtract the constant term from both sides of the equation. 5. Rewrite the quadratic equation as the sum of two binomials.

• The steps involved in factoring quadratics are: 1. Square the quadratic equation. 2. Take the square root of the quadratic equation. 3. Add the square root of the constant term to both sides of the equation. 4. Subtract the square root of the constant term from both sides of the equation. 5. Rewrite the quadratic equation as the difference of two binomials.

• The steps involved in factoring quadratics are: 1. Write the quadratic equation in the form ax^2 + bx + c = 0. 2. Factor out the greatest common factor (if any). 3. Use the AC method or trial and error to find two numbers that multiply to give the constant term (c) and add up to give the coefficient of the linear term (b). 4. Rewrite the quadratic equation as the product of two binomials. 5. Set each binomial equal to zero and solve for x. The solutions will be the factors of the quadratic equation.

• The steps involved in factoring quadratics are: 1. Divide the quadratic equation by the coefficient of the linear term. 2. Multiply the quadratic equation by the coefficient of the linear term. 3. Add the coefficient of the linear term to both sides of the equation. 4. Subtract the coefficient of the linear term from both sides of the equation. 5. Rewrite the quadratic equation as the sum of two binomials.

• x = 1, x =8

• x = -1, x = -8

• x = 1, x=-8

• x = -1, x = 8

(2x - 1)(x + 2)

• 2x² + 3x - 2

• 2x² - 5x - 2

• 2x² + 3x + 2

• 2x² - 5x + 2

• 11x(x - 3)

• 11x(x + 2)

• 11(x - 3)

• 11x(x + 3)

What is a polynomial expression with two terms called?

• Quadrinomial

• Monomial

• Trinomial

• Binomial

Factor: x² - 4x + 4

• (x + 2)²

• (x - 2)²

• (x + 4)²

• (x - 4)²

Factor: x² - 30x + 225

• (x + 15)²

• (x - 15)²

• (x + 25)²

• (x - 25)²

Factor x² - 121

• (x - 11)(x - 11)

• (x + 11)(x + 11)

• (x + 11)(x - 11)

• (x - 9)(x + 9)

Factor a² - 225

• (a - 15)(a - 15)

• (a + 15)(a - 15)

• (a + 15)(a + 15)

• (a - 15)²