Assuming your f(x) = x^3 +6x^2 +x^(1/2) and g(x) = x^(1/2), you have
.. f(x)/g(x) = x^(5/2) +6x^(3/2) +1
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If an exponent has any arithmetic in it, parentheses are needed around it.
In this case, you just need to multiply 64% with the length shown.
For example, if the length shown is 100 cm, the length of its tail would be :
100 cm x 64 %
= 64 cm
Use the distance formula
d = sqrt ((y2-y1)^2 + (x2-x1)^2))
= sqrt ( (5 sqrt2 - sqrt2)^2 + ( -3sqrt5 - sqrt5)^2)
= sqrt [( 4sqrt2)^2 + (4sqrt5)^2]
= sqrt (32 + 16*5) = sqrt 112 = sqrt16 * sqrt7 = 4 sqrt7
The answer is 4 sqrt7
Answer: a=x, then polynomial is zero.
a = x - 1/(x^2+x-1), then polynomial is one, but we have to note (x^2+x-1) != 0.
Step-by-step explanation:
The polynomial product is identically zero when a = x, since factor (x-a) becomes zero. Another way for a polynomial to not contain x is if it is a constant not zero. For example,
(x-a) = 1/(x^2+x-1)
a = x - 1/(x^2+x-1)
Substitute a = x - 1/(x^2+x-1) into
(x^2+x-1)(x-a) = (x^2+x-1)/(x^2+x-1) = 1.