Answer :

The result by using long division method for the given polynomial equation is: 25[(1/3x³) +(1/19x²) + (1/23x) + (1/15)]

What is long division method?

In mathematics, the long division method can be performed on the polynomial equations. Basically, in this big equation can be solved by making smaller group of equations to make the calculation simple. It divide the dividend with divisor.

According to the question, the given polynomial equation is 3x³ +19x² + 23x + 15. Using long division method, divide it by 25

Therefore, the expression can be written as:

Required expression: [tex]\frac{3x^{3} +19x^{2} + 23x + 15 }{25}[/tex]

Dividing it by 25, we get:

(25/3x³) +(25/19x²) + (25/23x) + (25/15)

⇒ 25[(1/3x³) +(1/19x²) + (1/23x) + (1/15)]

Hence, the result by using long division method for the given polynomial equation is: 25[(1/3x³) +(1/19x²) + (1/23x) + (1/15)]

To learn more about the long division method from the given link:

https://brainly.com/question/12085148

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