Y= (5 x 9) + 1 x 9) = 54
mp.8 generalize
pam wrote the equations below.
1. tell how you can use repeated reasoning to find multiplication facts.
# your
on by
2. which factors did pam use repeatedly?
make a generalization.
7 x 6 = (5 x 6) + (2 x 6) = 42
7 x 9 = (5 x 9) + (2 x 9) = 63
7x7 = (5 x 7) + (2 x 7) = 49
- facts.
3. complete this equation to test whether your generalization is
true for other facts. explain.
7 x 8=lx+lx) =

change of stock price/initial stock price on friday * total stock value = change of stock value

0.89/73.73 *x = 42.72

x=3539.04 = total stock value at initial stock price on friday .

total stock value at initial stock price on friday/ initial stock price on friday = number of shares

3539.04/73.73 = 48 shares

they own 48 shares of this stock

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.