Solving Quadratics Through Factoring Techniques

What is the primary goal when starting to solve a quadratic equation?

• To plot the equation

• To find the derivative

• To set the equation equal to zero

• To factor the equation immediately

What is the correct order of terms in the standard form of a quadratic equation?

• Quadratic, constant, linear

• Quadratic, linear, constant

• Linear, quadratic, constant

• Constant, linear, quadratic

What is the purpose of rearranging terms in a quadratic equation to standard form?

• To identify the highest degree term easily

• To eliminate the quadratic term

• To make it look more complex

• To confuse the solver

Which pair of numbers multiplies to -14 and adds up to -5?

• 7 and 2

• 7 and -2

• -7 and -2

• -7 and 2

What is the value of 'p' that makes the equation zero in the first example?

• p = 5

• p = 0

• p = -2

• p = 7

What does GCF stand for in the context of factoring quadratic equations?

• Greatest Common Factor

• General Common Function

• General Coefficient Formula

• Greatest Coefficient Function

Why is it important to identify the GCF in a quadratic equation?

• To increase the complexity

• To make the equation unsolvable

• To simplify the equation

• To plot the graph

What is the result of factoring out the GCF in the context of quadratic equations?

• It simplifies the equation making it easier to solve

• It changes the roots of the equation

• It eliminates one variable

• It converts the quadratic to a linear equation

What additional GCF was taken out after the initial factorization in the second example?

• Three

• Four

• Two

• Five

What are the values of 'x' that satisfy the second example equation?

• x = -3, x = 1

• x = 3, x = -1

• x = -3, x = -1

• x = 0, x = 1