+1995 Manu needs to determine whether x + 4 is a factor of f(x)=−x^4−6x^3+15x−72 .
How can Manu use the factor theorem to determine whether x + 4 is a factor of f(x) ?
Drag a value, expression, or phrase into each underline to correctly complete the statements.
Manu evaluates ________ and determines its value to be _______ . Manu concludes that x + 4 ______ a factor of f(x)=−x^4−6x^3+15x−72 .
The options are f(-4) , -4 , f(0 ), f(4) ,-652 , -72 ,is , is not
I think it should be f(-4) ,-4 , and is not
+129852 Manu needs to determine whether x + 4 is a factor of f(x)=−x^4−6x^3+15x−72 .
How can Manu use the factor theorem to determine whether x + 4 is a factor of f(x) ?
If x + 4 is a factor, then x = -4 is a root.....use synthetic division....if we get a 0, then x + 4 is a factor....so
-4 [ -1 -6 0 15 -72 ]
4 8 -32 68
____________________________
-1 -2 8 -17 -4
We have a remainder of -4, so.. x = -4 is not a root and ..x + 4 is NOT a factor
+1995 Awesome, so I inputted it correct?
Manu evaluates f(-4) and determines its value to be -4 . Manu concludes that x + 4 is not a factor of f(x)=−x^4−6x^3+15x−72 .
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