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NISA [10]
3 years ago
8

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

Mathematics
2 answers:
Kay [80]3 years ago
4 0

Answer:

2x^2+5x-2  

Step-by-step explanation:

(6x^4 + 15x^3 - 2x^2 + 10x -4) ÷ (3x2 + 2)

To divide it we use long division

                                            2x^2+5x-2                    

                                     ------------------------------------------

3x^2+0x + 2         6x^4 + 15x^3 - 2x^2 + 10x -4

                                             6x^4 +0x^3+4x^2

                                     ---------------------------------------------------(subtract)

                                                       15x^3-6x^2+10x

                                                        15x^3+0x^2+10x

                                            -----------------------------------------------(subtract)

                                                                        -6x^2+0x-4

                                                                        -6x^2+0x-4

                                                   -------------------------------------------------------

                                                                                   0  

VMariaS [17]3 years ago
3 0

The given problem is :

(6x^4 + 15x^3 − 2x^2 + 10x − 4) ÷ (3x^2 + 2)?

now we can write expression (6x^4 + 15x^3 − 2x^2 + 10x − 4) as

(6x^4 + 4x^2 + 15x^3 + 10x - 6x^2 -4)

we have somehow arrange the expression in a way that 3x^2 + 2 is common

now the expression comes out to be

2x^2(3x^2 + 2) + 5x(3x^2+2) -2(3x + 2) / (3x^2+2)

After dividing final result comes out to be (2x^2 + 5x -2)

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