# Math Problems

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Please show all work for all problems listed. Thank you This will help me with future problems like these.

Find the GCF of the monomials.

16x2z, 40xz2, 72z3

Factor the GCF of expression.

15x2y2 - 9xy2 + 6x2y

a(a + 1) - 3(a + 1)

Factor each polynomial completely.

x3y + 2x2y2 + xy3

Use grouping to factor each polynomial completely.

x3 + ax + 3a + 3x2

Factoring with two variables.

h2 - 9hs + 9s2

Factoring Completely. If the polynomial is a prime say so.

3x3y2 - 3x2y2 + 3xy2

Factor each trinomial using the ac method.

21x2 + 2x - 3

8x2 - 10x - 3

Factor each polynomial completely. If a polynomial is prime say so.

a2b + 2ab - 15b

3x3 - 12x

8b2 + 24b + 18

3x2 - 18x - 48

9x2+ 4y2

Solve each equation.

x2 - 36 = 0

x3 = 4x

(x - 3)2 + (x + 2)2 = 17

Applications.

Avoiding a collision. A car traveling on a road that is perpendicular to a railroad track. When the car is 30 meters from the crossing , the car's new collision detector warns the driver that there is a train 50 meters from the car and heading toward the same crossing. How far is the train from the crossing?

Winter wheat. While finding the amount of seed needed to plant his three square wheat fields, Hank observed that the side of one field was 1 kilometer longer than the side of the smallest field and that the side of the largest field was 3 kilometers longer than the side of the smallest field. If the total area of the three fields is 38 square kilometers, then what is the area of each field?

Venture capital. Henry invested $12,000 in a new restaurant. When the restaurant was sold two years later, he received $27, 000. Find his average annual return by solving the equation 12,000(1 + r)2 = 27,000.

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##### Solution Summary

The expert finds the GCF of the monomials and factors the GCF of expressions.

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Please show all work for all problems listed. Thank you This will help me with future problems like these.

Find the GCF of the monomials.

16x2z, 40xz2, 72z3

GCF 8xz

Factor the GCF of expression.

15x2y2 - 9xy2 + 6x2y = 3 x y (5 x y + 2 x - 3 y)

a(a + 1) - 3(a + 1) = (a-3) (a+1)

Factor each polynomial completely.

x3y + 2x2y2 + xy3 = x y (x+y)^2

Use grouping to factor each polynomial completely.

x3 + ax + 3a + 3x2 = (x+3) (a+x^2)

Factoring with two variables.

h2 - 9hs + 9s2 cannot be factored

Factoring Completely. If the polynomial is a prime say so.

3x3y2 - 3x2y2 + 3xy2 = 3 x y^2 (x^2-x+1)

Factor each trinomial using the ac ...

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