5+4+1 = 10. If you have 4 nickels out of 10 coins, it means there is a 4/10 chance of selecting one, but to simplify, 2 is the greatest common factor, so you would divide each number.

4/2 = 2.

10/2 = 5.

The answer is 2/5.

3 0

3 years ago

Find a cubic polynomial in standard form with real coefficients, having the zeros 4 and 5i. Let the leading coefficient be 1.

SCORPION-xisa [38]

If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is $x^{2} +25$ . Now we will multiply in that last factor of (x-4): $(x^2+25)(x-4)$ . FOILing out we have $x^3-4x^2+25x-100$ . There you go!

3 0

3 years ago