The expression 5x-2x-3 is equivalent to which of the following-

The correct option is D 5 17x+3 Given expression is 5x 2x + 3 Since the numerator and denominator are linear functions, we can divide them and wri ...

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Standard XII

Mathematics

Definition of Functions

The expressio...

Question

The expression $\frac{5 x - 2}{x + 3}$ is equivalent to which of the following?

\frac{5 - 2}{3}

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5 - \frac{2}{3}

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5 - \frac{2}{x + 3}

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5 - \frac{17}{x + 3}

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Solution

The correct option is D $5 - \frac{17}{x + 3}$
Given expression is $\frac{5 x - 2}{x + 3}$
Since the numerator and denominator are linear functions, we can divide them and write in the form:
Numerator $=$ quotient $\times$ divisor $+$ remainder.
$5 x - 2 = 5 (x + 3) - 15 - 2 = 5 (x + 3) - 17$
When divided by $x + 3$ , we get
$\frac{5 (x + 3) - 17}{x + 3} = 5 - \frac{17}{x + 3}$

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The expression 5x−2x+3 is equivalent to which of the following?

The correct option is D 5−17x+3Given expression is 5x−2x+3Since the numerator and denominator are linear functions, we can divide them and write in the form:Numerator = quotient × divisor + remainder.5x−2=5(x+3)−15−2=5(x+3)−17When divided by x+3, we get5(x+3)−17x+3=5−17x+3

The expression $\frac{5 x - 2}{x + 3}$ is equivalent to which of the following?