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Answer:
The given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Step-by-step explanation:
Given
We know the rational zeros theorem such as:
if is a zero of the function
,
then .
As the is a polynomial of degree
, hence it can not have more than
real zeros.
Let us put certain values in the function,
,
,
,
,
,
,
,
,
From the above calculation results, we determined that zeros as
and
.
Hence, we can check that
Observe that,
,
increases rapidly, so there will be no zeros for
.
Therefore, the given statement that value 5 is an upper bound for the zeros of the function f(x) = x⁴ + x³ - 11x² - 9x + 18 will be true.
Answer:
2x² - 3x - 2
Explain:
Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.
2x² + x - 4x - 2
Collect like terms.
2x² + (x - 4x) - 2
Simplify.
2x² - 3x - 2
Answer:
of fabric.
Step-by-step explanation:
-The amount of fabric needed is equivalent to the area of the two gardens.
-We calculate the combined areas as:
Hence, 5811.95 sq meters of fabric will be needed to cover the area of both gardens.