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Verdich [7]
3 years ago
8

X^2-5x-36/x-2 ÷(x^2-18x+81)

Mathematics
1 answer:
mamaluj [8]3 years ago
6 0
The answer is 76520^
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- The solution/answer is 10.

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In the expression 2x + 3, the 2 is called the __________. A) coefficient Eliminate B) power C) product D) quotient
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A) Coefficient I think 
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(2x^3+9x^2+x-12)/(x+4) simplify
neonofarm [45]

Answer:

<h2>2 {x}^{2}  + x - 3</h2>

Step-by-step explanation:

\frac{2 {x}^{3}  + 9 {x}^{2}  + x - 12}{x + 4}

Write 9 {x}^{2} as a sum

\frac{2 {x}^{3}  - 2 {x}^{2} + 11 {x}^{2}   + x - 12}{x + 4}

Write X as a sum

\frac{2 {x}^{3}  - 2 {x}^{2} + 11 {x}^{2} - 11x + 12x - 12  }{x + 4}

Factor out 2 {x}^{2} from the expression

\frac{2 {x}^{2}(x - 1) + 11 {x}^{2} -  11x + 12x - 12  }{x  + 4}

Factor out 11x from the expression

\frac{2 {x}^{2} (x - 1) + 11x(x - 1) + 12x - 12}{x + 4}

Factor out 12 from the expression

\frac{2 {x}^{2}(x - 1) + 11(x - 1)  + 12(x - 1) }{x + 4}

Factor out X - 1 from the expression

\frac{(x - 1)(2  {x}^{2}   + 11x + 12)}{x + 4}

Write 11x as a sum

\frac{(x - 1)(2 {x}^{2}  + 8x + 3x + 12)}{x + 4}

Factor out 2x from the expression

\frac{(x - 1)(2x(x + 4) + 3x + 12)}{x + 4}

Factor out 3 from the expression

\frac{(x - 1)(2x(x + 4) + 3(x  + 4)}{x + 4}

Factor out X + 4 from the expression

\frac{(x - 1)(x + 4)(2x + 3)}{x + 4}

Reduce the fraction with X + 4

(x - 1)(2x + 3)

Multiply the parantheses

2 {x}^{2}  + 3x - 2x - 3

Collect like terms

2 {x}^{2}  + x - 3

Hope this helps...

Good luck on your assignment...

4 0
3 years ago
It is A (45). Hope this helps!
lorasvet [3.4K]
What do you need help with? :0
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3 years ago
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