SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. {{{ f(x) = x^4 + 6x^3 + 17x^2 + 54x + 72 }}} A. {{{ f(x) = (x - 4)(x + 2)(x - 3)(x +

Algebra ->  Coordinate-system -> SOLUTION: Find all zeros of the function and write the polynomial as a product of linear factors. {{{ f(x) = x^4 + 6x^3 + 17x^2 + 54x + 72 }}} A. {{{ f(x) = (x - 4)(x + 2)(x - 3)(x +      Log On


   



Question 472199: Find all zeros of the function and write the polynomial as a product of linear factors.
+f%28x%29+=+x%5E4+%2B+6x%5E3+%2B+17x%5E2+%2B+54x+%2B+72+

A. +f%28x%29+=+%28x+-+4%29%28x+%2B+2%29%28x+-+3%29%28x+%2B+3%29+
B. +f%28x%29+=+%28x+%2B+4%29%28x+%2B+2%29%28x+-+3i%29%28x+%2B+3i%29+
C. +f%28x%29+=+%28x+-+1%29%28x+-+8%29%28x+-+3i%29%28x+%2B+3i%29+
D. +f%28x%29+=+%28x+-+isqrt8%29%28x+%2B+isqrt8%29%28x+-+3%29%28x+%2B3%29


Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi,
+f%28x%29+=+x%5E4+%2B+6x%5E3+%2B+17x%5E2+%2B+54x+%2B+72+
+f%28-2%29+=+x%5E4+%2B+6x%5E3+%2B+17x%5E2+%2B+54x+%2B+72+=+0+
(x+2)(x^3 + 4x^2 + 9x + 36) = (x+2)(x+4)(x^2+9) = (x+2)(x+4)(x-3i)(x+3i)