The factor theorem states that for any polynomial function f(x), if f(a) = 0, then (x-a) is a factor of f(x).
Let f(x) = x3-2x2-8x-5. If (x+1) is a factor, then f(-1) = 0. (x+1 = x - (-1))
Input x = -1 into f: (-1)3-2(-1)2-8(-1)-5
f(-1) = -1 -2 + 8 - 5
f(-1) = 0.
Since f(-1) = 0, (x+1) is a factor of x3-2x2-8x-5.
Q.E.D.
To determine whether Betty's illness has "unnatural" causes
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Rub them together and see which one gets scratched.
If the prime factorization contains a 5 and a 7, 35 is a factor.
I dont know it is hard to say whether she is or not. One could describe her more as a snicker licker than that of a cougar.
"Describe an experiment that would you to determine whether the deep purple portion of the leaf is photosynthesizing?"
describe the method of evaluation that would be used to determine whether learning goals were met.
The remainder is not zero so y-3 is not a factor of y^4+2y^2-4
yes!
I do not know what pattern you can see!
To determine whether a polynomial equation has imaginary solutions, you must first identify what type of equation it is. If it is a quadratic equation, you can use the quadratic formula to solve for the solutions. If the equation is a cubic or higher order polynomial, you can use the Rational Root Theorem to determine if there are any imaginary solutions. The Rational Root Theorem states that if a polynomial equation has rational solutions, they must be a factor of the constant term divided by a factor of the leading coefficient. If there are no rational solutions, then the equation has imaginary solutions. To use the Rational Root Theorem, first list out all the possible rational solutions. Then, plug each possible rational solution into the equation and see if it is a solution. If there are any solutions, then the equation has imaginary solutions. If not, then there are no imaginary solutions.
The composition of the rock will determine whether it is a rhyolite or an andesite.
The mean value theorem can be applied to all continuous functions (or expressions), and so it is applicable here. There is no equation in te question and furthermore, no c (other than the first letter of cos in the expression so there are no values for c to satisfy anything!
To determine whether Betty's illness has "unnatural" causes
Absolutely! That is like asking whether the Pythagorean Theorem has to do with right triangles!
Yes, he must have proved his own Theorem otherwise it would not have been adopted by mathematicians across the globe. I'm sure you could test out the theorem: check whether c2 really does equal b2 + a2 in a manual measurement of a triangle; though this is less accurate and not as precise as the Theorem.
EMG can determine whether a particular muscle is responding appropriately to stimulation, and whether a muscle remains inactive when not stimulated