Use the grouping method to factor x^3 + x^2 + 5x + 5
a. (x^2+1)(x+5)
b. (x+1)(x^2+5)
c. (x+1)(x^2+5)
d. x(x+5)(x+1)

(x + 1) (x^2 + 5)

Step-by-step explanation:

Simplify the following:

x^3 + x^2 + 5 x + 5

Factor terms by grouping. x^3 + x^2 + 5 x + 5 = (x^3 + x^2) + (5 x + 5) = x^2 (x + 1) + 5 (x + 1):

x^2 (x + 1) + 5 (x + 1)

Factor x + 1 from x^2 (x + 1) + 5 (x + 1):

 (x + 1) (x^2 + 5)

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x