SOLUTION: X^2+16X+65=(X+7)*(_____)+(2) X^2+10X+27=(X+6)*(____

SOLUTION: X^2+16X+65=(X+7)(_)+(2) X^2+10X+27=(X+6)(_)+(3)

Question 17887: X^2+16X+65=(X+7)*(_____)+(2)
X^2+10X+27=(X+6)*(_____)+(3)

Answer by xcentaur(357) (Show Source): You can put this solution on YOUR website!
Using synthetic division in both cases,

X^2+16X+65=(X+7)*(_____)+(2)

x+7 | X^2 + 16X + 65
 -7 | 1     16    65
    | -     -7    -63
    ----------------
      1     9     2

Ans: (x+7)(x+9)+2

X^2+10X+27=(X+6)*(_____)+(3)


x+6 | X^2 + 10X + 27
 -6 |  1    10    27
    |  -    -6    -24
    -----------------
       1     4    3

Ans: (x+6)(x+4)+3

Hope this helps,
Prabhat

RELATED QUESTIONS
x^3+16x^2 (answered by sophxmai)

10x^2=3(x+6) (answered by ewatrrr)

1. 2x^2+10x+12 Factor completely 2.x^2+8x=-16 3.x^2-16=0 4. x^2-16x=-64 5. (answered by ankor@dixie-net.com)

(x-6)^3/2=27 (answered by robertb)

x^2/3>=27.6 (answered by greenestamps)

Subtract and simplify 3/x^2+10x-56 -... (answered by jim_thompson5910)

3/x^2+10x-56-2/x^2+16x+28 Subtract and... (answered by jim_thompson5910)

f(x)=x^3-3x^2-16x-12;x-6 (answered by stanbon)

{{{ (x^3 + x^2 - 10x - 6) / (x - 3)... (answered by solver91311)

SOLUTION: X^2+16X+65=(X+7)*(_____)+(2) X^2+10X+27=(X+6)*(_____)+(3)

SOLUTION: X^2+16X+65=(X+7)(_)+(2) X^2+10X+27=(X+6)(_)+(3)