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15 March, 09:19

The polynomial function of least degree with a leading coefficient of 1 is:

f (x) = x^3+Ax^2+Bx+C.

a = ?

b = ?

c = ?

+5
Answers (2)
  1. 15 March, 09:32
    0
    A) x=-2,1,3 (x+2) (x-1) (x-3) = 0 (x+2) (x2-4x+3) = 0x3-4x2+3x+2x2-8x+6=0x3-2x2-5x+6=0 b) x=-3,3, i and also - i (x-3) (x+3) (x-i) (x+i) = 0 (x2-9) (x2-i2) = 0 (x2-9) (x2+1) = 0x4-9x2+x2-9=0x4-8x2-9=0 c) x=-2,-2,2-3i (also 2+3i), 4+√2 (also 4-√2) (x+2) (x+2) (x-[2-3i]) (x-[2+3i]) (x-[4+√2]) (x-[4-√2]) (x2+4x+4) (x2-[2-3i]x-[2+3i]x+4-9i2) (x2-[4+√2]x-[4-√2]x+16-2) (x2+4x+4) (x2-4x+13) (x2-8x+14) you now multiply all three trinomials together
  2. 15 March, 09:43
    0
    The answer is: a = - 7

    b = 16

    c = - 10
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