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spayn [35]
3 years ago
5

Factor the expression below

Mathematics
1 answer:
nadezda [96]3 years ago
8 0

Given:

The expression is

2x^2+3x-9

To find:

The factors of the given expression.

Solution:

We have,

2x^2+3x-9

Splitting the middle term, we get

2x^2+(6-3)x-9

2x^2+6x-3x-9

2x(x+3)-3(x+3)

(x+3)(2x-3)

Therefore, the factors of given expression are (x+3) and (2x-3).

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What is (f−g)(x)? f(x)=5x^4+4x^3+3x^2+2x+1 g(x)=x^4+2x^3+3x^2+4x+5. Enter your answer, in standard form, in the box.
Naddika [18.5K]

Answer:

(f-g)(x)=4x^{4}+2x^3}-2x-4

Step-by-step explanation:

Let f and g be two functions that are defined in the same interval and have the same independent variable. Then, the Subtraction of Function is defined as:

(f-g)(x)=f(x)-g(x)

Let's solve (f-g)(x) with f(x)=5x^{4}+4x^3}+3x^{2}+2x+1 and g(x)=x^{4}+2x^{3}+3x^{2}+4x+5

(f-g)(x)=(5x^{4}+4x^3}+3x^{2}+2x+1)-(x^{4}+2x^{3}+3x^{2}+4x+5)\\(f-g)(x)=5x^{4}+4x^3}+3x^{2}+2x+1-x^{4}-2x^{3}-3x^{2}-4x-5\\(f-g)(x)=4x^{4}+2x^3}-2x-4

.

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3 years ago
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