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fredd [130]
3 years ago
11

Determine the resulting polynomial:

Mathematics
1 answer:
cupoosta [38]3 years ago
7 0

Answer:

-40x³ + 44x² - 66x - 36

Step-by-step explanation:

f(x) = 10x + 4

g(x) = -4x² + 6x – 9

Therefore:

f(x) · g(x) = (10x + 4) · (-4x² + 6x - 9) = -40x³ + 44x² - 66x - 36

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---------------------------------------------------------------------

Part B. You'll need to be more specific. What I would do is show how the quantity (-2x+1)^4 is always nonnegative. This is because x^4 = (x^2)^2 is always nonnegative. So (-2x+1)^4 >= 0. The coefficient -10a is either positive or negative depending on the value of 'a'. If a > 0, then -10a is negative. Making h ' (x) negative. So in this case, h(x) is monotonically decreasing always. On the flip side, if a < 0, then h ' (x) is monotonically increasing as h ' (x) is positive.

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