Can someone solve and show work for this pls

Dividing : 6x5 + 26x4 - 5x3 + 17x2 - 21x + 10

("Dividend")

By : 3x - 2 ("Divisor")

dividend 6x5 + 26x4 - 5x3 + 17x2 - 21x + 10

- divisor * 2x4 6x5 - 4x4

remainder 30x4 - 5x3 + 17x2 - 21x + 10

- divisor * 10x3 30x4 - 20x3

remainder 15x3 + 17x2 - 21x + 10

- divisor * 5x2 15x3 - 10x2

remainder 27x2 - 21x + 10

- divisor * 9x1 27x2 - 18x

remainder - 3x + 10

- divisor * -x0 - 3x + 2

remainder 8

Quotient : 2x4 + 10x3 + 5x2 + 9x - 1

Remainder : 8

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

hope this !