Factor quadratics a=1

Factor the expression: @@3x^2 + 9x - 120@@ (GCF first)

• @@3(x + 8)(x - 5)@@

• @@3(x + 5)(x - 8)@@

• @@3(x + 10)(x - 12)@@

• @@3(x - 8)(x + 5)@@

What is the standard form of a quadratic equation?

• @@ax^2 + bx + c = 0@@, where a, b, and c are constants and a ≠ 0

• @@x^2 + y^2 = r^2@@, where r is the radius

• @@y = mx + b@@, where m is the slope and b is the y-intercept

• @@ax^2 + bx + c = d@@, where d is a constant

What is the vertex form of a quadratic equation?

• y = ax^2 + bx + c

• y = a(x - h)^2 + k

• y = a(x + h)^2 - k

• y = a(x - h)^2 - k

What is the difference of squares?

• The difference of squares is a special product that can be factored as @@a^2 - b^2 = (a + b)(a - b)@@.

• The difference of squares is the sum of two squares.

• The difference of squares is a polynomial of degree two.

• The difference of squares is a method for solving quadratic equations.

How do you check if your factorization is correct?

• By adding the coefficients of the terms together.

• By multiplying the binomials back together to see if you get the original expression.

• By finding the roots of the equation.

• By simplifying the expression to its lowest terms.

What is the greatest common factor (GCF)?

• The smallest multiple of two numbers.

• The largest factor that divides two or more numbers or expressions.

• The sum of two numbers.

• The difference between two numbers.

What is the significance of the coefficients in a quadratic equation?

• They determine the roots of the equation.

• They determine the shape and position of the parabola represented by the quadratic equation.

• They indicate the number of solutions to the equation.

• They affect the linearity of the equation.

What does it mean to factor a quadratic expression?

• Rewriting it as a sum of two numbers.

• Rewriting it as a product of two binomials.

• Finding the roots of the quadratic equation.

• Simplifying the expression to its lowest terms.

What is the relationship between the roots and the factors of a quadratic equation?

• The roots of a quadratic equation are the values of x that make the equation equal to zero, and they correspond to the factors of the equation.

• The roots of a quadratic equation are always positive numbers.

• The factors of a quadratic equation are the coefficients of the equation.

• The roots of a quadratic equation are unrelated to its factors.