What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)?

a. 2x2 – 5x + 2
b. 2x2 + 5x – 2
c. 2x2 + 5x + 2
d. 2x2 – 5x – 2

Question

What is the quotient: (6x4 + 15x3 + 10x2 + 10x + 4) ÷ (3x2 + 2)?

a. 2x2 – 5x + 2
b. 2x2 + 5x – 2
c. 2x2 + 5x + 2
d. 2x2 – 5x – 2

vishal_kothari · Answer

6x^4 – 15x^3 + 10x² – 10x + 4 | 3x² + 2
           _________________________|______________ 
     6x^4 + 0x^3 + 4x² _________| 2x² - 5x + 2 
0x^4 - 15x^3 + 6x² _________ |
____ - 15x^3 + 0x² - 10x ____ |
______ 0x^3 + 6x² + 0x + 4 __|
___________ 6x² + 0x + 4 __|
___________ 0x² + 0x + 0 __|

So that : 6x^4 – 15x^3 + 10x² – 10x + 4 : 3x² + 2 = 2x² - 5x + 2..

callisto · Answer

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