Divide (10x^3-33x^2+26x-15)÷(2x-5)

Math
(10×3-33×2+26x-15)÷(2x-5)
Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.
2x510×333×2+26x15
Divide the highest order term in the dividend 10×3 by the highest order term in divisor 2x.
5×2
2x510×333×2+26x15
Multiply the new quotient term by the divisor.
5×2
2x510×333×2+26x15
+10×325×2
The expression needs to be subtracted from the dividend, so change all the signs in 10×3-25×2
5×2
2x510×333×2+26x15
10×3+25×2
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
5×2
2x510×333×2+26x15
10×3+25×2
8×2
Pull the next terms from the original dividend down into the current dividend.
5×2
2x510×333×2+26x15
10×3+25×2
8×2+26x
Divide the highest order term in the dividend -8×2 by the highest order term in divisor 2x.
5×24x
2x510×333×2+26x15
10×3+25×2
8×2+26x
Multiply the new quotient term by the divisor.
5×24x
2x510×333×2+26x15
10×3+25×2
8×2+26x
8×2+20x
The expression needs to be subtracted from the dividend, so change all the signs in -8×2+20x
5×24x
2x510×333×2+26x15
10×3+25×2
8×2+26x
+8×220x
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
5×24x
2x510×333×2+26x15
10×3+25×2
8×2+26x
+8×220x
+6x
Pull the next terms from the original dividend down into the current dividend.
5×24x
2x510×333×2+26x15
10×3+25×2
8×2+26x
+8×220x
+6x15
Divide the highest order term in the dividend 6x by the highest order term in divisor 2x.
5×24x+3
2x510×333×2+26x15
10×3+25×2
8×2+26x
+8×220x
+6x15
Multiply the new quotient term by the divisor.
5×24x+3
2x510×333×2+26x15
10×3+25×2
8×2+26x
+8×220x
+6x15
+6x15
The expression needs to be subtracted from the dividend, so change all the signs in 6x-15
5×24x+3
2x510×333×2+26x15
10×3+25×2
8×2+26x
+8×220x
+6x15
6x+15
After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.
5×24x+3
2x510×333×2+26x15
10×3+25×2
8×2+26x
+8×220x
+6x15
6x+15
0
Since the remander is 0, the final answer is the quotient.
5×2-4x+3
Divide (10x^3-33x^2+26x-15)÷(2x-5)

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