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galben [10]
3 years ago
12

Please Help!!!

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0
By synthetic division,

-5  |  1    -6    -42    79
.    |        -5     55   -65
- - - - - - - - - - - - - - - - - 
.    |  1   -11    13    14

\implies\dfrac{x^3-6x^2-42x+79}{x+5}=x^2-11x+13+\dfrac{14}{x+5}
\implies x^3-6x^2-42x+79=(x^2-11x+13)(x+5)+14

When x=-5, you're left with a remainder of 14.
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