Math / Algebra

QuestionPROBLĖMES AVEC LA MULTIPLICATION ET DIVIIION DES POLYNÔMES $\frac{\left(-4,5 x^{2}+3,6 x\right)}{0,5 x}$

Studdy Solution

STEP 1

1. We are given a polynomial expression in the form of a fraction.
2. The goal is to simplify the expression by performing polynomial division.
3. The division involves dividing each term in the numerator by the term in the denominator.

STEP 2

1. Identify and separate each term in the numerator.
2. Divide each term in the numerator by the term in the denominator.
3. Simplify each resulting term.

STEP 3

Identify the terms in the numerator:
The numerator is $-4.5x^2 + 3.6x$ .

STEP 4

Divide each term in the numerator by the denominator $0.5x$ .
First term: $\frac{-4.5x^2}{0.5x}$
Second term: $\frac{3.6x}{0.5x}$

STEP 5

Simplify each resulting term.
First term: $\frac{-4.5x^2}{0.5x} = \frac{-4.5}{0.5} \times \frac{x^2}{x} = -9x$
Second term: $\frac{3.6x}{0.5x} = \frac{3.6}{0.5} \times \frac{x}{x} = 7.2$
Combine the simplified terms:
$-9x + 7.2$
The simplified expression is:
$\boxed{-9x + 7.2}$

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QuestionPROBLĖMES AVEC LA MULTIPLICATION ET DIVIIION DES POLYNÔMES $\frac{\left(-4,5 x^{2}+3,6 x\right)}{0,5 x}$

Studdy Solution

STEP 1

1. We are given a polynomial expression in the form of a fraction.
2. The goal is to simplify the expression by performing polynomial division.
3. The division involves dividing each term in the numerator by the term in the denominator.

STEP 2

1. Identify and separate each term in the numerator.
2. Divide each term in the numerator by the term in the denominator.
3. Simplify each resulting term.

STEP 3

Identify the terms in the numerator:
The numerator is $-4.5x^2 + 3.6x$ .

STEP 4

Divide each term in the numerator by the denominator $0.5x$ .
First term: $\frac{-4.5x^2}{0.5x}$
Second term: $\frac{3.6x}{0.5x}$

STEP 5

Simplify each resulting term.
First term: $\frac{-4.5x^2}{0.5x} = \frac{-4.5}{0.5} \times \frac{x^2}{x} = -9x$
Second term: $\frac{3.6x}{0.5x} = \frac{3.6}{0.5} \times \frac{x}{x} = 7.2$
Combine the simplified terms:
$-9x + 7.2$
The simplified expression is:
$\boxed{-9x + 7.2}$

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QuestionPROBLĖMES AVEC LA MULTIPLICATION ET DIVIIION DES POLYNÔMES (−4,5x2+3,6x)0,5x\frac{\left(-4,5 x^{2}+3,6 x\right)}{0,5 x}0,5x(−4,5x2+3,6x)​

Studdy Solution

STEP 1

1. We are given a polynomial expression in the form of a fraction.2. The goal is to simplify the expression by performing polynomial division.3. The division involves dividing each term in the numerator by the term in the denominator.

STEP 2

1. Identify and separate each term in the numerator.2. Divide each term in the numerator by the term in the denominator.3. Simplify each resulting term.

STEP 3

Identify the terms in the numerator: The numerator is −4.5x2+3.6x-4.5x^2 + 3.6x−4.5x2+3.6x.

STEP 4

Divide each term in the numerator by the denominator 0.5x0.5x0.5x.First term: −4.5x20.5x \frac{-4.5x^2}{0.5x} 0.5x−4.5x2​Second term: 3.6x0.5x \frac{3.6x}{0.5x} 0.5x3.6x​

STEP 5

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QuestionPROBLĖMES AVEC LA MULTIPLICATION ET DIVIIION DES POLYNÔMES $\frac{\left(-4,5 x^{2}+3,6 x\right)}{0,5 x}$

1. We are given a polynomial expression in the form of a fraction.
2. The goal is to simplify the expression by performing polynomial division.
3. The division involves dividing each term in the numerator by the term in the denominator.

1. Identify and separate each term in the numerator.
2. Divide each term in the numerator by the term in the denominator.
3. Simplify each resulting term.

Identify the terms in the numerator:
The numerator is $-4.5x^2 + 3.6x$ .

Divide each term in the numerator by the denominator $0.5x$ .
First term: $\frac{-4.5x^2}{0.5x}$
Second term: $\frac{3.6x}{0.5x}$