Solving Quadratic Equations through Factoring Techniques

What is the degree of a quadratic function?

• 1

• 2

• 3

• 4

If x^2 = 71, what are the approximate values of x?

• ±9.43

• ±6.43

• ±8.43

• ±7.43

What do the zeros of a quadratic function represent on its graph?

• Vertex

• X-intercepts

• Y-intercepts

• Axis of symmetry

In the standard form of a quadratic function y = ax^2 + bx + c, what does 'c' represent?

• Variable term

• Constant term

• Coefficient of x

• Coefficient of x^2

What is the first step in solving a quadratic equation by factoring?

• Multiply both sides by x

• Take the square root

• Set y to zero

• Add a constant term

When factoring the quadratic equation x^2 - 3x - 70, which pair of factors is correct?

• (x - 10)(x + 7)

• (x + 10)(x - 7)

• (x - 7)(x + 10)

• (x + 7)(x - 10)

Why do we change the signs of the factors when solving quadratic equations?

• To find the y-intercepts

• To find the vertex

• To create zeros in the parentheses

• To simplify the equation

In the equation y = 2x^2 + 26x + 72, what is the first step before factoring?

• Subtract 2 from each term

• Add 2 to each term

• Divide by 2

• Multiply by 2

Which pair of factors correctly solves the equation 2x^2 + 26x + 72?

• (x + 9)(x + 4)

• (x - 9)(x - 4)

• (x + 6)(x + 6)

• (x - 6)(x - 6)

How can you verify that your factored solution is correct?

• By graphing the equation

• By taking the square root

• By adding the factors

• By multiplying the factors back together