SOLUTION: I would like for someone to explain this to me with the answers, if it's possible. Thank you in advance! Multiply and divide the following polynomials: 1. (3x + 1)(x^2

SOLUTION: I would like for someone to explain this to me with the answers, if it's possible. Thank you in advance! Multiply and divide the following polynomials: 1. (3x + 1)(x^2 - 9x + 2

Question 231245: I would like for someone to explain this to me with the answers, if it's possible. Thank you in advance!
Multiply and divide the following polynomials:
1. (3x + 1)(x^2 - 9x + 2)
2. 2x(5x^2 - 6x + 7)
3. (2x^4 + 3)(4x^3 + 1)
4. (1/4x + 1/3) (1/4x - 1/3)
5. (x^2 -9x+3)(x^3 -5x^2 +x-3)
6. (4x + 1)^2
7. (x - 7y)(x + 7y)
8. (12y^3 + 8y^2 + 20y) / (4y)
9. (3x^2 - lOx - 8)/ (3x + 2)
10. (2x^3 -4x^2 - 28x + 6) / (2x + 6)
Found 2 solutions by rfer, checkley77:
Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
lets look at 6
6)
(4x+1)^2
same as
(4x+1)(4x+1)
16x^2+4x+4x+1
combine
16x^2+8x+1
7)
(x-7y)(x+7y)
x^2+7xy-7xy-49y^2
combine
x^2-49y^2
2)
2x(5x^2-6x+7)
10x^3-12x^2+14x
nothing to combine
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
1.
(3x + 1)
(x^2 - 9x + 2)
----------------
3x^3+x^2-27x^2-9x+6x+2
3x^3-26x^2-3x+2 ans.
------------------------------
2. 2x(5x^2 - 6x + 7)
10x^3-12x^2+14x ans
------------------------
3.
2x^4 + 3
4x^3 + 1
------------
8x^7+12x^3+2x^4+3
8x^7+2x^4+12x^3+3 ans.
------------------------------
4.
1/4x + 1/3
1/4x - 1/3
-----------
x/16+x/12-x/12+1/9
x/16+1/9 ans.
---------------------------
5.
x^2 -9x +3
x^3 -5x^2 +x -3
---------------
x^5-9x^4+3x^3-5x^4+45x^3-15x^2+x^3-9x^2+3x-3x^2+27x+9
x^5-14x^4+49x^3-27x^2+30x+9 ans.
------------------------------------------------------
6.
4x + 1
4x +1
---------
16x^2+4x+4x+1
16x^2+8x+1
-----------------------------------------
7.
x - 7y
x + 7y
-------------
x^2-7xy+7xy-49y^2
x^2+49y^2 ans.
----------------------------------------------
8. (12y^3 + 8y^2 + 20y) / (4y)
4y(3y^2+2y+5)/4y
3y^2+2y+5 ans.
----------------------------------------------
9. (3x^2 - lOx - 8)/ (3x + 2)
(3x+2)(x-4)/(3x+2)
x-4 ans.
-----------------------------------------------
10. (2x^3 -4x^2 - 28x + 6) / (2x + 6)
(2x+6)(x^2-5x+1)/(2x+6
x^2-5x+1 ans.
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