Question

(m2 + 14m + 31) divided by (m + 10)

Answer 1

Polynomial Long Division

Dividing :  m^2+14m+31

                            ("Dividend")

By         :    m+10    ("Divisor")

dividend     m^2  +  14m  +  31

- divisor  * m1     m^2  +  10m    

remainder         4m  +  31

- divisor  * 4m0         4m  +  40

remainder          -  9

Quotient :  m+4

Remainder :  -9

Answer 2

Answer:

Step-by-step explanation:

The first term is,  m2  its coefficient is  1 .

The middle term is,  +14m  its coefficient is  14 .

The last term, "the constant", is  +31  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 31 = 31  

Step-2 : Find two factors of  31  whose sum equals the coefficient of the middle term, which is   14 .

     -31    +    -1    =    -32  

     -1    +    -31    =    -32  

     1    +    31    =    32  

     31    +    1    =    32  

Observation : No two such factors can be found !!