List the potential zeros of the polynomial functions. Do not find the zeros. f(x

Question

List the potential zeros of the polynomial functions. Do not find the zeros. f(x) = 6x^4 + 3x^3 - 4x^2 + 2 plusminus 1/6, plusminus 1/3, plusminus 1/2, plusminus 1, plusminus 2 plusminus 1/2, plusminus 3/2, plusminus 1, plusminus 2, plusminus 3, plusminus 6 plusminus 1/6, plusminus 1/3, plusminus 1/2, plusminus 2/3, plusminus 1, plusminus 2, plusminus 3 plusminus 1/6, plusminus 1/3, v1/2, plusminus 2/3, plusminus 1, plusminus 2 Use the given zero to find the remaining zeros of the function. f(x) = x^4 - 32x^2 - 144; zero = - 2i 2i, 6i, - 6i 2i, 12i, - 12i 2i, 12, - 12 2i, 6, - 6 Approximate the value using a calculator. Express answer rounded to three decimal places. 5.761.94 11.058 20, 346, 358 43.699 29.268 Solve the equation. 2^1 + 2x = 32 {16} {2} {4} {- 2} log_5 x = 3 {8} {243} {125} {15} the Change-of-Base Formula and a calculator to evaluate the logarithm. 8.706 -8.920 -0.112 - 0 095; the equation log (2 + x) - log (x - 4) = log 3 {54/2} {7} {- 7} 0

Explanation / Answer

8)

(x-1)/(x+2)>0

(x-1)(x+2)>0 , x+20

x+2<0, x-1>0 ,x+20

x<-2, x>1 ,x-2

so x lies in interval (-,-2)or(1,)

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9)given f(x)=6x4+3x3-4x3+2

constant term is 2. its factors are 1,2

leading coefficient is 6. its factors are 1,2,3,6

possible rational zeroes are ±(1,2)/(1,2,3,6)

possible rational zeroes are ±1/1,±1/2,±1/3,±1/6,±2/1,±2/2,±2/3,±2/6

possible rational zeroes are ±1,±1/2,±1/3,±1/6,±2,±1,±2/3,±1/3

possible rational zeroes are ±1/6,±1/3,±1/2,±2/3,±1,±2

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