Question

Use synthetic division to solve (2 x cubed 4 x squared minus 35 x 15) divided by (x minus 3). What is the quotient? 2 x squared minus 2 x minus 29 StartFraction 102 Over x 3 EndFraction 2 x squared minus 2 x minus 29 StartFraction 102 Over x minus 3 EndFraction 2 x cubed 10 x squared minus 5 x 2 x squared 10 x minus 5.

Answer 1

Answer:

2x^2+10x-5 on edge

Step-by-step explanation:

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Answer 2

The quotient of the division operation is 2x² + 10x - 5.

Given

The equation (2x^3+4x^2-35x+15) divided by (x-3).

To find the division to solve the given equation following all the steps given below.

• Step 1: Divide 2x³ by x, we obtain a quotient value of 2x²; multiply the quotient value by the divisor and Subtract to obtain a dividend of 10x² - 35x + 15.

       

• Step 2: Divide 10x² by x, we obtain a quotient value of 10x; multiply the quotient value by the divisor and Subtract to obtain a dividend of - 5x + 15

• Step 3: Divide - 5x by x, we obtain a quotient value of - 5; multiply the quotient value by the divisor and add to obtain 0.

Hence, the quotient of the division operation is 2x² + 10x - 5.

To know more about synthetic division click the given below.

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