Question

Divide (x^2-8x+15) by (3x-15)​

Answer 1

The polynomial $(x^2-8x+15)$ when divided by the polynomial $3x-15$ gives quotient  $\frac{1}{3} (x-1)$ .

A polynomial is a mathematical equation made up of indeterminates (also known as variables) and coefficients that includes only addition, subtraction, multiplication, and exponentiation of non-negative integer variables.

We will use the algebraic method of factorization to calculate the result of the division.

On factoring for middle term we get:

$(x^2-8x+15)\\\\=(x^2-5x-3x+15)\\\\=x(x-5)-3(x-5)\\\\=(x-5)(x-3)$

Now we have to divide the given polynomial with the expression (3x-15) .

therefore :

$(x-5)(x-3)\div (3x-15)\\\\or, \frac{1}{3} (x-3)$

Hence the required solution is $\frac{1}{3} (x-1)$ .

Polynomials can be found in many mathematical and scientific fields. They are used to define polynomial functions that arise in a variety of contexts spanning from basic chemistry and physics to economics and social science.

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