Factoring Trinomials: a = 1 Assignment

Which geometric model using algebra tiles represents the factorization of x2 - 5x + 6?

A.)

Which expression has an equivalent value to x2 + 9x + 8 for all values of x? (x + 1)(x + 8) (x + 2)(x + 6) (x + 4)(x + 4) (x + 5)(x + 4)

A.) (x + 1)(x + 8)

The binomial (x + 5) is a factor of x2 + 8x + 15. What is the other factor? (x + 3) (x + 7) (x + 12) (x + 13)

A.) (x + 3)

Why might algebra tiles not be a good tool to use to factor x2 + 18x + 80? Explain.

Algebra tiles would not be a good tool to use to factor the trinomial because you would need to drag an x-squared tile, 18 x-tiles, and 80 plus tiles. That is a total of 99 tiles. It would take a lot of time to drag that many tiles on the board and there might not be enough space to hold all of them. You would also need to determine how to arrange all those tiles to make a rectangle. Since 80 is a multiple of 10, you might recognize that 10 and 8 are the factors that add to 18, which would give you the values to use in the X method.

Which expression is the factored form of x2 - 7x + 10? (x + 3)(x + 4) (x - 3)(x - 4) (x - 2)(x - 5) (x + 2)(x + 5)

C.) (x - 2)(x - 5)

Which equivalent four-term polynomial can be created using the X method? x2 + 8x + 8x + 48 x2 - 12x - 4x + 48 x2 + 12x + 4x + 48 x2 - 8x - 8x + 48

C.) x2 + 12x + 4x + 48

The trinomial x2 + bx + c factors to (x + m)(x + n). If b is negative and c is positive, what must be true about m and n? m and n are both positive. m is positive and n is negative. m is negative and n is positive. m and n are both negative.

D.) m and n are both negative.

Which expressions are perfect square trinomials? Check all that apply. x2 + 16x + 8 x2 + 14x + 49 x2 - 5x + 25 x2 - 24x + 144 x2 + 9x - 81

2 4

Choose the values of a and b that represent the factored form of w2 - 11w + 18. w2 - 11w + 18 = (w - a)(w - b) a = b =

2 9

The value of ac is ____. The value of b is ___. The equivalent factored form of the polynomial is ___.

24 11 (x + 3)(x + 8)