Factoring Trinomials with A Values

What is the first step in factoring polynomials in standard form?

• Check the order of the polynomial

• Apply the box method

• Find the greatest common factor

• Multiply the a and c values

What do you multiply together in the box method for factoring polynomials?

• The b value and itself

• The a and c values

• The b and c values

• The a and b values

In the box method, what is the purpose of finding factors of a*c that add up to b?

• To determine the greatest common factor

• To complete the square

• To simplify the polynomial

• To find the factors for the box

What is the significance of the greatest common factor in factoring polynomials?

• It simplifies the polynomial before applying factoring methods

• It determines the order of the polynomial

• It is used to multiply the a and c values

• It is the final step in the box method

In the box method, where do the factors of a*c that add up to b go?

• Inside the box

• In the first and last term positions

• They are not used in the box method

• Outside the box

What is the first step in the slide and divide method?

• Find the greatest common factor

• Factor out the greatest common factor

• Multiply the a value by the c value and slide it

• Divide the a value by the c value

What do you do after sliding the a value into c in the slide and divide method?

• Multiply the factors

• Simplify the polynomial

• Divide each term by the a value

• Find factors that add to b

How do you handle non-friendly numbers in the slide and divide method?

• Ignore them

• Simplify and slide them as coefficients

• Multiply them by the a value

• Use them to find the greatest common factor

What indicates a polynomial is prime?

• It can be simplified using the slide and divide method

• It cannot be written as a product of two polynomials with integer coefficients

• It can be factored using the box method

• It has a greatest common factor

What happens if a polynomial is determined to be prime?

• It is simplified using the slide and divide method

• It is divided by the greatest common factor

• It is factored using the box method

• It cannot be factored into polynomials with integer coefficients