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Mathematics help: Factoring polynomials

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See the attached file.

Find the prime factorization of this number.
72

Factor out the greatest common factor.
b^3 - 52b^2

Factor this expression.
(q + r)c + (q + r)d

Factor this expression.
6(c - d) - a(c - d)

Factor this expression completely. You may have to rearrange some terms first.
ar^2 - 70brs + 10ars - 7br^2

Factor the expression, if possible. (If the polynomial is prime, enter NONE in the answer box.)
x^2 - 16

Factor the expression, if possible. (If the polynomial is prime, enter NONE in the answer box.)
16a^2 + 9y^2

Factor the expression, if possible. (If the polynomial is prime, enter NONE in the answer box.)
6x^2 - 96y^2

Factor the expression, if possible. (If the polynomial is prime, enter NONE in the answer box.)
z^3 - 9zd^2

Factor the expression, if possible. (If the polynomial is prime, enter NONE in the answer box.)
a^3 - 36a + 2a^2 - 72.

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Solution Summary

Step-by-step solutions to all the problems that require factoring polynomials are provided in an attached Word file.

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Please find the solutions attached herewith.

Find the prime factorization of this number.
72

72 = 2 x 2 x 2 x 3 x 3

2. Question Details Notes Question: GFBAlg8 5.1.040.
Question part
1
Factor out the greatest common factor.
b3 - 52b2
b2 (b- 52)

Factor this expression.
(q + r)c + (q + r)d

= (q + r)(c + ...

Solution provided by:
Sandhya Sharma, MSc
Education
  • BSc, Meerut University
  • MSc, Meerut University
  • MPhil, Institute of Advanced Studies
  • MSc, AIT
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