Patricia is studying a polynomial function f(x). three given roots of f(x) are -11 - sqrt 2, 3 + 4i, and 10. patricia concludes that f(x) must be a polynomial with degree 4. which statement is true?

D. Patricia is not correct because both 3 – 4i and -11+ √2i must be roots.

Step-by-step explanation:

The question is obviously incomplete, but if the polynomial has all real coefficients, then Patricia is partially right in that the polynomial has at least degree 4. Complex roots occur in conjugate pairs, so if 3+4i is a root, then so is 3-4i. So we know at a minimum that we can write

where is some real number.

b) k’(6, 4); l’(3, 3)

step-by-step explanation:

a 270° clockwise rotation maps every point (x, y) to (y, -x). (it negates the x-coordinate and then switches it and the y-coordinate.)

this means the endpoints of the side congruent to kl, k' and l', would be mapped as:

k'(-4, 6)→(6, 4)

l'(-3, 3)→(3, 3)

a.for lorena 14 hours makes $126   for 16 hours she makes 144

for julie 6 hours makes $72 for 21 hours its $252

b. julie makes more money than lorena julie makes $12 an hour and lorena makes $9  

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