Answer:
No. We can conclude that (x-4) is <u>not</u> a factor of the polynomial.
Step-by-step explanation:
The <em>polynomial remainder theorem</em> tells you (x-4) will be a factor of the polynomial f(x) if and only if f(4) = 0. When we evaluate ...
f(x) = 4x³ -20x² +18x -12
at x=4, we find that f(4) = -4. This is not zero, so (x-4) is not a factor of f(x).
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The evaluation is perhaps easiest done by hand when the function is written in Horner form:
f(x) = ((4x -20)x +18)x -12
f(4) = ((4·4 -10)4 +18)4 -12 = ((-4)4 +18)4 -12 = 2·4 -12
f(4) = -4
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The one real factor of this polynomial is irrational, and the remaining factors are complex and irrational.
Part A:
The plot for the function f(x) and g(x) is attached. The purple curve represents f(x) and the black line represents g(x).
Part B:
The graph of f(x) shows that f(x) is an exponential function.
The graph of g(x) shows that g(x) is a linear function.
Part C:
As x increases from left to right, the function f(x) increases very rapidly.
As x increases from left to right, the function f(x) increases at a constant rate.
Part D:
From the graph it can be seen than the valus of x for which the values of the function are equal are: x = -4 and x = 1.19.
55
Step-by-step explanation:
all you have to do is length times width so that would be 5 cm × 11 cm hope this helps
Answer:
22,368
Step-by-step explanation:
1864 x 12 = 22,368
I am not sure but I would have to guess 46 because it is the closest to 19