3 years ago

Symplify 5+2(x-5)

Mathematics

2 answers:

marysya [2.9K]3 years ago

7 0

First, distributive property.

5+2x-10
The just combine like terms and you get
2x-5

lubasha [3.4K]3 years ago

4 0

The answer is 7x-35
5+2(x-5)
7(x-5)
Distribute 7 to both x and -5
7x-35

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Given the polynomial 2x3 + 18x2 − 18x − 162, what is the value of the coefficient 'k' in the factored form?2x3 + 18x2 − 18x − 16

s344n2d4d5 [400]

Answer:

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Step-by-step explanation:

Let

$f(x)=2x^3+18x^2-18x-162$

We factor 2 to obtain;

$f(x)=2(x^3+9x^2-9x-81)$

We factor the polynomial within the parenthesis by grouping.

$f(x)=2(x^2(x+9)-9(x+9)$

$f(x)=2(x^2-9)(x+9)$

$f(x)=2(x^2-3^2)(x+9)$

We apply difference of two squares on the second factor: $x^2-3^2=(x-3)(x+3)$

$f(x)=2(x+3)(x-3)(x+9)$

We now compare to;

$f(x)=2(x+k)(x-k)(x+9)$

It is now obvious that $k=3$

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user100 [1]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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