Simplify and write as a polynomial in standard form. (x-6)(5x+7)-(3x² - 4x +8)(x-1)

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter4: Polynomials
Section4.6: Multiplying Polynomials
Problem 43WE
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Solve EXACTLY like the example. First you have to do the tabular method for each expression then you must distribute and add as shown in the example attached.

(3x²2x+9)(x-4)
X
3²3x³
2x
9
15+ Step
5)
(3x² - 2x +9)(x-4)-(x + 6)(2x + 7)
(x+6)(2x+1)
X
22x² 12x
77x 42
2x² +19x+42
5-2x² 18x
9x -36
3x³-14x² +17x-36
2nd
Step
-4
-12x²
2
(3x²14x717x-36)-(2x+19x +42)
3x²³ -14x²+1 7x-36
-2x²-19x-42
3x³-16x²-2x-78
Transcribed Image Text:(3x²2x+9)(x-4) X 3²3x³ 2x 9 15+ Step 5) (3x² - 2x +9)(x-4)-(x + 6)(2x + 7) (x+6)(2x+1) X 22x² 12x 77x 42 2x² +19x+42 5-2x² 18x 9x -36 3x³-14x² +17x-36 2nd Step -4 -12x² 2 (3x²14x717x-36)-(2x+19x +42) 3x²³ -14x²+1 7x-36 -2x²-19x-42 3x³-16x²-2x-78
Simplify and write as a polynomial in standard form.
(x-6)(5x+7)-(3x² - 4x +8)(x-1)
Transcribed Image Text:Simplify and write as a polynomial in standard form. (x-6)(5x+7)-(3x² - 4x +8)(x-1)
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