Use synthetic division to solve (2x^3+4x^2-35x+15) divided by (x-3) What is the quotient?

The only thing you need to watch carefully is the divisor which in this case is x - 3. The divisor, in synthetic division, is the number that will make the binomial go to 0.

x - 3 =0

x = 3

So the divisor is 3.

3 || 2 4 -35 15

6 30 -15

======================

2 10 -5 0

So the quotient is

2x^2 + 10x - 5 with no remainder

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fichoh fichoh · Answer 2 · 2021-10-20T06:29:38+02:00

The quotient of the division operation with 2x³ + 4x² - 35x + 15 being the dividend and x - 3 the divisor is 2x² + 10x - 5

___| 2x² + 10x - 5

___|________________

x-3 | 2x³ + 4x² - 35x + 15 - - - - - - - step 1

___ 2x³ - 6x²

-______ 10x²- 35x + 15 - - - - - - - - step 2

_______10x²- 30x + 15

-__________ - 5x + 15 - - - - - - - - - step 3

___________ -5x + 15

-_______________0

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.

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

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