which of the following functions are polynomial function f{X}=x²+√3x+2
Answers
Answer:
F(x) = 2x³ - x² - 9x + 6
0 = 2x³ - x² - 9x + 6
0 = 2x³ + 3x² - 4x² - 3x - 6x + 6
0 = 2x³ + 3x² - 3x - 4x² - 6x + 6
0 = x(2x²) + x(3x) - x(3) - 2(2x²) - 2(3x) + 2(3)
0 = x(2x² + 3x - 3) - 2(2x² + 3x - 3)
0 = (x - 2)(2x² + 3x - 3)
0 = x - 2 or 0 = 2x² + 3x - 3
+ 2 + 2 x = -3 ± √(3)² - 4(2)(-3)
2 = x 2(2)
x = -3 ± √9 - 4(-6)
4
x = -3 ± √9 + 24
4
x = -3 ± √33
4
x ≈ -3 ± 5.74
4
x ≈ -3 + 5.74 or x ≈ -3 - 5.74
4 4
x ≈ 2.74 or x ≈ -8.74
4 4
x ≈ 0.685 or x ≈ -2.185
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