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

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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Step-by-step explanation:

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

my guess would be b and d, but i didn’t actually get out the pen and paper. lol

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629