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Factoring and Common Factors

39.

67.

93. The area of a painting. A rectangular painting with a width of x centimeters has an area of square centimeters. Find a binomial that represents the length.

Area =

95. Amount of investment. The amount of an investment of P dollars for t years at simple interest rate r is given by .

a.) Rewrite this formula by factoring out the greatest common factor on the right hand side.
b.) Find A if $8300 is invested for 3 years at a simple interest rate of 15%.

Factoring the Special Products and Factoring by Grouping

15. Factor each polynomial.

61. Factor each polynomial completely.

79.

Use grouping to factor each polynomial completely.

Factoring and common factors are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

... The factors of 36 are: Of 54: Of 180: ... Answer: The greatest common factor is 18. Multiples of 8 are: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120 ...

... Section 5.6 The Zero Factor Property Solve by factoring. 32. ... if a given polynomial is prime, that is, determine that it cannot be factored into a ...

... of equal to b. Then we use grouping to factor the equation ... example: 2 x 2 + 7 x + 3 can be factored by ac ... x 2 + x + (6 x + 3) . Continuing the factoring, we have ...

... of 7s is one 4. The least common multiple (LCM) is ... of GCF 1. To calculate the Greatest Common Factor (GCF) of ... of numbers, first list the prime factors of each ...

... 5) Again, use factoring by grouping: P (x) = (x4 − 6x3 ... x) = (x3 − 216)(x − 6). We need to factor the expression ... x2 + 6x + 36 can not be factored (if it ...

... solution shows steps taken to perform the required factoring. ... 2. Finding the greatest common factor In solving these types ... 8. Looking at the x factors, we see ...

... x - 2)(x + 2) and 3x + 6 = 3(x + 2). Factor: ... of the second fraction can be factored as (a ... 5)(a + 4). Put the fractions over a common denominator, subtract, and ...

... b 2) but zero expo-sure to the other two factors. ... but negative exposure of b 1.5 to the energy factor. ... Hubbard's Pet Foods is financed 80% by common stock and ...

...Factors of 12 are 1 , 2 , 3 , 4 , 6 , 12 ... We see that the Greatest Common Factor(Divisor) is 4. ... so because their GCD is 3, so their Least Common Multiple (LCM) is ...