If the total number of flowers in a garden is represented by the expression (5x3 - 2x2 + 5x + 2), find an expression for the number of rows if each row has x – 4 flowers.

If the total number of flowers in a garden is represented by the expression 5x3 2x2 5x 2 find an expression for the number of rows if each row has x 4 flowers class=

Respuesta :

In order to find the expression for the number of rows, we need to divide the polynomial 5x³ - 2x² + 5x + 2 by the monomial x - 4.

To do this division, we can do the following steps:

5x³ divided by x: 5x²

5x² times (x - 4): 5x³ - 20x².

5x³ - 2x² + 5x + 2 minus (5x³ - 20x²): 18x² + 5x + 2

18x² divided by x: 18x

18x times (x - 4): 18x² - 72x

18x² + 5x + 2 minus (18x² - 72x): 77x + 2

77x divided by x: 77

77 times (x - 4): 77x - 308

77x + 2 minus (77x - 308): 310

Therefore the result of the division is (5x² + 18x + 77) + 310/(x-4)

Correct option: second one.

Otras preguntas