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Artyom0805 [142]
4 years ago
14

Multiply (2x2 + 3x − 6)(x − 1)

Mathematics
2 answers:
Grace [21]4 years ago
8 0
For this question, it is reasonable to use the foil method. In order to use FOIL we need to understand what it stands for: 
F-First
O-Outside
I-Inside
L-Last
(see attachment for visual) 
Let's get started. 
We are given: 
(2x^2 + 3x - 6)(x -  1)
Start by distributing the 2 first, then the 3, and then lastly the -6
<span><span><span><span><span><span><span>(<span>2x^2</span>)</span>(x)</span>+<span><span>(<span>2x^2</span>)</span><span>(−1)</span></span></span>+<span><span>(3x)</span>(x)</span></span>+<span><span>(3x)</span><span>(−1)</span></span></span>+<span><span>(−6)</span>(x)</span></span>+<span><span>(−6)</span><span>(−1)
From here multiply the terms you have gathered from FOILING: 
</span></span></span>2x^3-2x^2+3x^2-3x-6x+6

From here we combine like terms. Like terms are terms that contain the same variable and/or exponential value. For example: 
3c and 4c are like terms because they have the same variables 
24 and 50 are like terms because they are simply numbers without any variables.  
It is best to put the like terms together in parentheses so that it is easier to combine them. 
(2x^3)+(-2x^2+3x^2)+(-3x-6x)+(6)&#10;
Combine: 
2x^3+x^2-9x+6&#10;

Final answer: 2x^3+x^2-9x+6
If you have an further questions, please do not hesitate to comment below! Have a nice day! :) 

zlopas [31]4 years ago
5 0
(2x² + 3x - 6)(x - 1)

Simplify.

2x³ - 2x² + 3x² - 3x - 6x + 6

Add like terms :)

2x³ + (-2x² + 3x²) + (-3x - 6x) + 6

Simplify.

2x³ + x² - 9x + 6

~Hope I helped!~


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Answer:

Because they find it hard to pass in the past.

Step-by-step explanation:

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3 years ago
Use the quadratic f(x)=x²+3x-4 and use any method to solve for the Zeros. Use the same function to solve for x when y is 6. F(x)
Katyanochek1 [597]

Answer:

a) f(x) = (x+4)\cdot (x-3), b) x = -5 or x = 2, c) x \approx 2.531 or x \approx -5.531

Step-by-step explanation:

a) The function is solved by factorization:

f(x) = (x+4)\cdot (x-3)

b) The function has the following form:

x^{2} + 3\cdot x - 4 = 6

x^{2} + 3\cdot x - 10 = 0

The roots of the polynomial are found by factorization:

(x+5)\cdot (x-2) = 0

x = -5 or x = 2

c) The function has the following form:

x^{2} + 3\cdot x - 4 = 10

x^{2} + 3\cdot x - 14 = 0

The roots of the polynomial are determined by the General Formula for the Second-Order Polynomial:

x_{1} = \frac{-3+\sqrt{3^{2}-4\cdot (1)\cdot (-14)}}{2\cdot (1)}

x_{1} \approx 2.531

x_{2} = \frac{-3-\sqrt{3^{2}-4\cdot (1)\cdot (-14)}}{2\cdot (1)}

x_{2} \approx -5.531

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7 divided by 8 is .875.

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You would want to add 5.2 to both sides to get 4.2y by itself on one side. Then you would divide both sides by 4.2 to get y by itself. Whatever y equals is the answer. Hope this Helps!
6 0
3 years ago
Read 2 more answers
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