Write a polynomial function of least degree and leading coefficient 1 that has the given roots.
1. 3, 2 + √6

2. 4, 7i

3. √11, 1/4

To find to polynomial from zeros.

Find the factors. If it is a positive zero, the factor will be (x- zero) If it is a negative zero if is (x+zero)

Multiply the factors together.

Zeros of -4, -2, 5 would be:

Find the factors: (x+4)(x+2)(x-5)

Multiply the factors together: Will start out with FOIL for (x+4)(x+2) = x2+2x+4x+8 Combine like terms. Then multiply by the last factor

(x2+6x+8)(x-5) using the distributive property

x3+6x2+8x-5x2-30x-40 Combine like terms

x3+x2-22x-40

For the next one, the factors are a bit more complicated because of the radical. With a radical, you will also have to have a factor with the conjugate (Same term opposite sign)

4, 6, negative square root of 7

Factors would be: (x-4)(x-6)(x-√7)(x+√7) You can FOIL the first 2 factors and the last 2, then multiply them together using the distributive property.

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

57.09 minus 7.0435 equals

step-by-step explanation:

just subtrach them both and u get the answer of 50.0465