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

Question

What is the quotient of the expression (6x^4 − 15x^3 + 10x^2 − 10x + 4) divided by (3x^2 + 2)? The possible answers are:
1. 2x^2 − 5x + 2
2. 2x^2 + 5x − 2
3. 2x^2 − 5x − 2
4. 2x^2 + 5x + 2

Anonymous · Accepted Answer

2x2 − 5x + 2Step-by-step explanation:To find the solution, perform long division on the polynomial.                 _2x2_-5x_+ 23x2 + 2  |  6x4 - 15x3 + 10x2 -10x + 4                 6x4              4x2                                           -15x3 + 6x2 -10x                           -15x3 +        -10x                                                                  6x2 + 4                                        6x2 + 4                                                                                0

Anonymous · Answer

Option 'C' is correct.Step-by-step explanation:Since we have given thatNow, we will find the quotient by factoring the numerator:Now, we will factor it again:At last we get our factorised form :Hence, Option 'C' is correct.

Anonymous · Answer

2x^2 -5x -2Step-by-step explanation:See the attached for the polynomial long division.

Anonymous · Answer

3.125Step-by-step explanation:

Anonymous · Answer

Step-by-step explanation: ÷ (3x2 + 2)To divide it we use long division                                                                                                      ------------------------------------------                                                                                            ---------------------------------------------------(subtract)                                                                                                                                                             -----------------------------------------------(subtract)                                                                                                                                                                                                    -------------------------------------------------------                                                                                    0

Anonymous · Answer

Quotient: 2x^2+5x-2 Remainder: 0

Anonymous · Answer

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 commonnow 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)

Anonymous · Answer

we are given  ÷  we can divide it by using long division method we will get  ÷   = ..............Answer

Dulce Torphy II · Answer

We can narrow this question down by eliminating B and C, since the constant 2 must be a positive number in order to multiply to 4. That leaves A and D.A) 2x^2 - 5x + 2(3x^2 + 2) (2x^2 - 5x + 2)  Check by multiplying= 6x4 - 15x3  + 6x2 + 2x2 - 10x + 4We can already see that this is incorrect, since we are subtracting 15x3D) 2x2 + 5x + 2(3x2 + 2) (2x2 + 5x + 2)   Check by multiplying6x4 + 15x3 + 6x3 + 4x3 + 10x + 46x4 + 15x3 + 10x3 + 4        This is our original term. The answer is D

Anonymous · Answer

2x^2 + 5x + 23x^2 + 2    6x^4 + 15x^3 + 10x^2 + 10x + 4             -    6x^4                + 4x^2                             15x^3 + 6x^2 + 10x + 4             -               15x^3            + 10x                                           6x^2 + 4                                           6x^2 + 4Therefore, (6x^4 + 15x^3 + 10x^2 + 10x + 4) ÷ (3x^2 + 2) = 2x^2 + 5x + 2

Anonymous

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

10 Answers

AI-Powered Insights

Want to answer this question?

Categories

Tags

Related Questions