Algèbre Exemples

$f (x) = x^{4} + x^{3} - 11 x^{2} - 5 x + 30$ , $g (x) = 2 x - 2$

Step 1

Replace the function designators with the actual functions in $f (x) - g x$ .

$x^{4} + x^{3} - 11 x^{2} - 5 x + 30 - (2 x - 2)$

Step 2

Simplify each term.

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Step 2.1

Apply the distributive property.

$x^{4} + x^{3} - 11 x^{2} - 5 x + 30 - (2 x) - - 2$

Step 2.2

Multiply $2$ by $- 1$ .

$x^{4} + x^{3} - 11 x^{2} - 5 x + 30 - 2 x - - 2$

Step 2.3

Multiply $- 1$ by $- 2$ .

$x^{4} + x^{3} - 11 x^{2} - 5 x + 30 - 2 x + 2$

Step 3

Simplify by adding terms.

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Step 3.1

Subtract $2 x$ from $- 5 x$ .

$x^{4} + x^{3} - 11 x^{2} - 7 x + 30 + 2$

Step 3.2

Add $30$ and $2$ .

$x^{4} + x^{3} - 11 x^{2} - 7 x + 32$

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