According to the fundamental theorem of algebra, how many zeros does the function f(x) = 15x17 + 41x12 + 13x3 − 10 have?

Mathematics

2 answers:

nlexa [21]2 years ago

8 0

The answer you are looking for is 17

liberstina [14]2 years ago

3 0

The fundamental theorem of algebra states that a polynomial of degree has exactly n roots (including complex and multiple).
The degree of a polynomial is the highest (non-negative) exponent of the polynomial, in this case is 17 from the term 15x^17.

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How do i write 12.009 in a word form?

tia_tia [17]

Your answer will be twelve and nine thousandths because in place value decimals are like tenths, hundredths, thousandths. In place value for regular numbers are ones, tens, hundreds and so on. So, when you have 12.009, you are going to separate the decimals with the numbers. Then, write down the number in words which would be twelve. Now, go to the decimal and write that down, which is 9 thousandths. Finally, combine the both of them to get: twelve and nine thousandths.

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3 years ago

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Dimas [21]

Answer:

135

Step-by-step explanation:

angle 1 and angle 3 are have the same messure so angle 3 equals to 135

8 0

3 years ago

Find all solutions to the equation:

crimeas [40]

Let z = sin(x). This means z^2 = (sin(x))^2 = sin^2(x). This allows us to go from the equation you're given to this equation: 7z^2 - 14z + 2 = -5

That turns into 7z^2 - 14z + 7 = 0 after adding 5 to both sides. Use the quadratic formula to solve for z. The only solution is z = 1 (see attached image). Since we made z = sin(x), this means sin(x) = 1. All solutions to this equation will be in the form x = (pi/2) + 2pi*n, which is the radian form of the solution set. If you need the degree form, then it would be x = 90 + 360*n

The 2pi*n (or 360*n) part ensures we get every angle coterminal to pi/2 radians (90 degrees), which captures the entire solution set.

Note: The variable n can be any integer.