Write a polynomial function of the least degree that has roots of 3 and (4 + i).
1 answer:
Answer:
Step-by-step explanation:
The least number of degree is 3 and the third root should be (4 - i) to make polynomial rational.
<u>The polynomial is:</u>
(x - 3)(x - (4 + i))(x - (4 + i)) = (x - 3)(x² -x(4 + i + 4 - i) + (4 + i)(4 - i)) = (x - 3)(x² - 8x + 16 - (-1)) = (x - 3)(x² - 8x + 17) = x³ - 8x² + 17x - 3x² + 24x - 51 = x³ - 11x² + 41x - 51
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Multiply by 12 so 8
Answer:
x = -15
Step-by-step explanation:
3×+34-×=4
2×+34=4
2×+34-34=4-34
2×=4-34
2×= -30
2×/2=-30/2
×= -15
Subtract 3 from each side to isolate the x and you get x=y-3
Answer:
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