Solve usuing synthetic divison and list the steps/explain answer.
(7m^(3)+16m^(2)-7m+27)-:(m+3)

7m² - 5m + 8 + 3/(m+3)

Step-by-step explanation:

7m³+16m²-7m+27

(7m³+21m²-5m²-15m+8m+24+3)/(m+3)

[7m²(m+3) - 5m(m+3) + 8(m+3) + 3]/(m+3)

7m² - 5m + 8 + 3/(m+3)

Step-by-step explanation:

m + 3 = 0

m = -3

Wite the coefficent of the dividend

 -3    I   7     16   -7   27

        I

             { write down the first coefficient as it is}

            7

Step 2:

-3    I   7     16   -7   27

        I         -21

        {multiply 7 & -3;write down next coefficient 16}

            7      -5                 {Now add 16 +(-21) and write next to 7}

Step 3: Repeat step2

-3    I   7     16     -7    27

        I         -21    15

            7      -5     8

step4 :

-3    I   7     16     -7       27

        I         -21    15      -24

            7      -5     8      3

Remainder = 3

Quotient : 7m² - 5m + 8

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step-by-step explanation:

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