x^4-16;x+2 Using long division method check whether the second polynomial is a factor of the first polynomials
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Step-by-step explanation:
given polynomials are :
x^4-16
x+2
x+2)x^4-16 ( x^3 - 2x^2 + 4x - 8 = quotient
x^4+2x ^3
- -
__________
-2x^3-16
-2x^3-4x^2
+ +
_____________
+4x^2-16
+4x^2+8x
- -
__________
-8x -16
-8x - 16
+ +
________
0 = remainder
__________
so, the second polynomial is a factor of the first polynomials
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