Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?
which shows one way to determine the factors of x3 + 11x2 – 3x – 33 by grouping?

all work is pictured and shown

1). (x² + 5) and (x + 4)

2). (x²- 3) and (x + 11)

Step-by-step explanation:

We have to determine the factors of the given expression (x³ + 4x² + 5x + 20) by grouping method.

x³ + 4x² + 5x + 20

= x²(x + 4) + 5(x + 4)

= (x² + 5)(x + 4)

Therefore, factors of the given expression are (x² + 5) and (x + 4).

Second expression is (x³ + 11x² - 3x - 33)

Now we will find the factors of this expression by grouping.

x³ + 11x² - 3x - 33

= x²(x + 11) - 3(x + 11)

= (x² - 3)(x + 11)

Therefore, the factors of the given expression are (x² - 3) and (x + 11).

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.