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snow_tiger [21]
3 years ago
9

+

Mathematics
1 answer:
Misha Larkins [42]3 years ago
3 0

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} → 2x^{2}

40 ÷ 8 = 5

x^{3} - x^{2} = x → 5x

- 24 ÷ 8 = - 3

x^{2} - x^{2} = 1 → - 3

Step 3: Put the polynomial together

2x^{2} + 5x - 3

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