Pre-algebra

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I have some practice problems, and I need to have them worked out, showing your work. I will gain a better understanding of these problems by practicing them. Thank you.

(6x+1)(x^2-9x+5)
(2x^4+3)(4x^3+2)
(12y^3+8y^2+20y)divided 2y
(6x^2-25x-10) divided by (3x+2)
(8x-5)+(7x+4)
(5x -3.6)-(4x+1.2)
(3x^2+3x)+(4x+40
(6x-6)-(3x -3)

Find the product of (x^2-3x+5)with the quotient of (10x^6-15x^5-5x)

  • Pre-algebra -

    1. (6x+1)(x^2 - 9x + 5).
    Multiply 6x by each term in the 2nd
    parenthesis. Then multiply 1 by each term in the 2nd parenthesis:
    6x^3 -54x^2 + 30x + x^2 - 9x + 5,
    Combine like-terms:
    6x^3 - 53x^2 +21x + 5.

    2. Same procedure as #1.

    3, (12y^3 + 8y^2 + 20y) / 2y.
    Divide each term by 2y:
    6y^2 + 4y + 10.

    4.(6x^2-25x-10) / (3x+2) = 2x-9 + Re
    -2x+8. I used Synthetic(Long) division.
    It is difficult to show steps here.

    5. (8x-5) + (7x+4) =
    8x - 5 + 7x + 4,
    Combine like-terms:
    15x -1.

    6. (5x-3.6)- (4x+1.2) =
    5x - 3.6 - 4x -1.2,
    x - 4.8.

    7. Same procedure as #5.

    8. Same procedure aqs #6.

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