3x 4 6x 3 2x 2 9x 10 x 2


Asked by wiki @ in Mathematics viewed by 197 People


Use synthetic division to solve (3x^4+6x^3+2x^2+9x+10) divided by (x+2) What is the quotient?

Please help.

Answered by wiki @



Answer:

The quotient is 3x^3+2x+5.

Step-by-step explanation:

The dividend is

3x^4+6x^3+2x^2+9x+10

The coefficient of dividend are 3,6,2,9 and the constant term is 10.

The divisor is (x+2), then divisor in the for of (x-c), therefore the value of c is -2.

Write -2 and the coefficient in the top row.

Now write first coefficient as it is in bottom row.

Multiply -2 and 3 are write the result in middle row. Then add 6 and -6.

Apply same process as shown below.

The bottom row show the coefficient and the last term of the bottom row represents the remainder.

The degree of the quotient is one less than the degree of the polynomial. Therefore the degree of quotient is 3. The quotient is

3x^3+0x^2+2x+5

3x^3+2x+5

The remainder is 0.

3x^4+6x^3+2x^2+9x+10=(x+2)(3x^3+2x+5)


Do you know the better answer?

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