Question

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Answer 1

Answer: $2x^{2} + 5x -3$

Step-by-step explanation:

Find the quotient of  $\frac{16x^4+40x^3-24x^2}{8x^2}$

Step 1: Break down the polynomial equation

$\frac{16x^4}{8x^2}$ + $\frac{40x^3}{8x^2}$ - $\frac{24x^2}{8x^2}$

Step 2: Divide each piece by dividing the coeffients and subtracting the variables.

16 ÷ 8 = 2

$x^{4}$ - $x^{2}$ = $x^{2}$ → 2$x^{2}$

40 ÷ 8 = 5

$x^{3}$ - $x^{2}$ = $x$ → 5$x$

- 24 ÷ 8 = - 3

$x^{2}$ - $x^{2}$ = 1 → - 3

Step 3: Put the polynomial together

2$x^{2}$ + 5$x$ - 3