8. Write the equation of a polynomial f(x) that has a degree of 4, zeros at x = 1, 2, -2, and -1, and has a y-intercept of 4. Select as many answers as you want. f(x) = x^4 - 5x³+4 f(x) = (x-1)(x-2)(x+1)(x+2) f(x) = x^4 - x^3 + x^2 - x^1 f(x) = (x-1)²(x-2)²

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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8. Write the equation of a polynomial f(x) that has a degree of 4, zeros at x =
1, 2, -2, and -1, and has a y-intercept of 4. Select as many answers as you
want.
f(x) = x^4 - 5x³ + 4
f(x) = (x-1)(x-2)(x+1)(x+2)
f(x) = x^4 - x^3 + x^2 - x^1
f(x) = (x-1)²(x-2)²
Transcribed Image Text:8. Write the equation of a polynomial f(x) that has a degree of 4, zeros at x = 1, 2, -2, and -1, and has a y-intercept of 4. Select as many answers as you want. f(x) = x^4 - 5x³ + 4 f(x) = (x-1)(x-2)(x+1)(x+2) f(x) = x^4 - x^3 + x^2 - x^1 f(x) = (x-1)²(x-2)²
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