Answer:
x^2+11x+10
or
(x+1)(x+10) since you can factor x^2+11x+10
Step-by-step explanation:
Let's do synthetic division.
We are dividing by x+2, so -2 will be on the outside. Like this:
-2 | 1 13 32 20
| -2 -22 -20
|___________________________
1 11 10 0
The remainder is 0, so (x+2) is indeed a factor of x^3+13x^2+32x+20.
The other factor we found by doing this is (x^2+11x+10).
You can find more factors by factoring x^2+11x+10.
Two numbers that multiply to be 10 and add to be 11 is 10 and 1 so the factored form of x^2+11x+10 is (x+10)(x+1).
Answer:
9m+6m^2n
Step-by-step explanation:
12mn-3mn=9mn
4m^2n+2m^2n=6m^2n
==> 9m+6m^2n
or rewrite as 3m(3+2mn)
Linear combination method just means to add the equations so that one variable with cancel. In this case the a values are already set up so that they will cancel.
2a + 3b = 1
-2a + b = 11
4b = 12
b = 3
now put 3 back into either of the original equations and solve for a.
2a + 3(3) = 1
2a + 9 = 1
2a = -8
a = -4
(-4,3)
Answer:
There is a 55% chance that it won't rain.
Every point on the x-axis has y-coordinate 0.
Let y = 0, and solve for x.
y = -5x + 5
0 = -5x + 5
5x = 5
x = 1
The line crosses the x-axis at x = 1.