To solve by grouping, we look for a pattern of the coefficients of the polynomial:
+1 +5 -1 -5
=> +(1+5) - (1+5)
Therefore we have found the grouping required, as follows:
<span>P(x) = x^3 + 5x^2 -x - 5
=x^2 ( x+5) - (x+5)
=(x^1-1)(x+5)
=(x+1)(x-1)(x+5)</span>
Answer:
Word problem: A recipe for making cookies use half cup of sugar for 1 cup of flour to make one pound of cookies. How many cups of sugar you need to make 3 pound of cookies.
As you can see to solve that problem you need to multiply the fraction 1/2, which is the number of cups needed to make 1 pound of cookies, times the number of pounds that you want to make.
So, for this problem you have to multiply 1/2 times 3.
My estimate is that the result is 1.5.
You can verify my estimate by multiplying:
1 3x1 3
3 x ----- = ------ = ------ = 1.5
2. 1x2 2
So, I have shown that my estimate was correct.
