If complex coefficients are allowed, the answer is 3.
If the polynomial must have real coefficients, then each complex root comes as a pair of complex conjugate roots.
Root -5 is real, so that is 1 root, and degree 1.
Root 1 + 4i is complex, so it must come with its complex conjugate, 1 - 4i. This adds 2 roots to the polynomial, and now we're up to degree 3.
Root -4i is also complex. It also must come with its complex conjugate, 4i. That adds two more roots, and the degree is 5.
Answer: The least possible degree is 5 with real coefficients.
Answer:
x=6
y=-3
Step-by-step explanation:
<em><u>solve for x-</u></em>
-4x+8y=-24 replace y with 0
-4x+8(0)=-24
-4x=-24 divide by -4 on both sides
x=6
<u><em>Solve for y-</em></u>
-4x+8y=-24 replace x with 0
-4(0)+8y=-24
8y=-24 divide by 8 from both sides
y=-3
Without any numbers this is hard to calulate
Answer:
(0, -1), (1/4, 0)
Step-by-step explanation:
I provided you with the y and x intercepts of the function