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Mathematics
Octavio Anthony
27 February, 20:54
Is x+4 a factor of 3x^4 + 4x - 2x^2
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Cade Hawkins
27 February, 23:18
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No. x + 4 is not a factor in a given polynomial.
Step-by-step explanation:
Let w (x) - polynomial
If x - q is a factor of w (x), then w (q) = 0.
We have w (x) = 3x⁴ + 4x - 2x² and x + 4 = x - (-4) → q = - 4.
Substitute:
w (-4) = 3 (-4) ⁴ + 4 (-4) - 2 (-4) ² = 3 (256) - 16 - 2 (16)
= 768 - 16 - 32 = 720 ≠ 0
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