Question

A rational expression simplifies to 3. the denominator of the original expression is given. which polynomial is the numerator?

Answer 1

The polynomial within the numerator is 9x²+45x+54.

Given the denominator of the initial expression is $\frac{?}{3x^2+15x+18}$ and also the rational expression simplifies to three.

A mathematical expression which will be rewritten to a rational fraction, an algebraic fraction specified both the numerator and therefore the denominator are polynomials. and a polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Let's take the polynomial within the numerator is k.

So, rewrite the given expression as

$\frac{k}{3x^2+15x+18}=3$

or it also can be written as

$\frac{k}{3x^2+15x+18}=\frac{3}{1}$

Cross multiply either side as a×d=b×c where a=k, b=3x²+15x+18, c=3 and d=1 and acquire

k=3(3x²+15x+18)

Simplify the above expression,

k=9x²+45x+54

Hence, the polynomial within the numerator within the given expression $\frac{?}{3x^2+15x+18}$ which is simplified to 3 is 9x²+45x+54.

Learn about rational expression from here brainly.com/question/3764404

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