Question

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What is the quotient when (16x4 + 40x3 - 24x2) is divided by 8x??
OA.
2x + 5x-3
OB. 2x + 3x-5
OC. 2x - 5x+5
D. 2x3 + 5X-3
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Relat
Next

Answer 1

Answer:
`2x^(2) + 5x -3`

Explanation:

Find the quotient of
`(16x^4+40x^3-24x^2)/(8x^2)`

Step 1: Break down the polynomial equation

`(16x^4)/(8x^2)` +
`(40x^3)/(8x^2)` -
`(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