Solving Quadratics Through Factoring Techniques

What is the primary question we ask when solving a polynomial equation?

• How many terms does the polynomial have?

• What is the highest degree of the polynomial?

• What value of X makes the equation true?

• How can we simplify this expression?

What are the two conditions the numbers M and N must satisfy in the reverse FOIL method?

• Multiply to give C and add to give B

• Multiply to give C and add to give A

• Multiply to give A and add to give B

• Multiply to give B and add to give C

Which pair of numbers multiplies to 10 and adds up to 7?

• 1 and 10

• -2 and -5

• 2 and 5

• 3 and 4

What is the result of factoring the polynomial X^2 + 7X + 10?

• X - 5 and X - 2

• X + 5 and X + 2

• X - 2 and X - 5

• X + 2 and X + 5

For the polynomial X^2 - 8X - 20, which pair of factors adds up to -8?

• -5 and -4

• -10 and 2

• 5 and 3

• 10 and -2

In the polynomial 3X^2 + 5X - 2, which binomial must start with 3X?

• The second binomial

• Both binomials

• The first binomial

• Neither binomial

What is the correct factorization of 3X^2 + 5X - 2?

• X + 3 and X - 2

• 3X + 1 and X - 2

• 3X - 1 and X + 2

• 3X + 2 and X - 1

How do we find solutions to a factored polynomial set equal to zero?

• By dividing the polynomial

• By setting each binomial equal to zero

• By adding the binomials

• By multiplying the binomials

What does the solution X = -2 signify in the context of factoring polynomials?

• It is the degree of the polynomial

• It is a root of the polynomial

• It is the constant term of the polynomial

• It is the coefficient of the X term

Why is factoring polynomials useful in solving equations?

• It simplifies the equation to its basic components

• It helps in graphing the polynomial

• It identifies the polynomial's degree

• It allows us to find the polynomial's roots