Factor completely x3 + 7x2 − 2x − 14.

the factors of x3 + 7x2 − 2x − 14. are (x^2-2)(x+7)

Step-by-step explanation:

x3 + 7x2 − 2x − 14.

We will group the terms.

Make pairs of the terms:

(x3 + 7x2 ) - (2x + 14.)

Now find the common factor of each pair

x^2(x+7)-2(x+7)

(x^2-2)(x+7)

Thus the factors of x3 + 7x2 − 2x − 14. are (x^2-2)(x+7)

(x+7)(x^2-2)

Step-by-step explanation:

x^3 + 7x^2 − 2x − 14

We will factor by grouping

Take x^2 out of the first two terms and -2 out of the last 2 terms

x^2(x+7) -2(x+7)

Now we can factor out (x+7)

(x+7)(x^2-2)

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

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step-by-step explanation: