Pre-Calculus Test 1, sec.2

3x*2x-(x^2+1)*3/(x^2+1)^2

3(x+1)(x-1)/(x^2+1)^2

x/x^2-4x+3 - x/x^2-x-6

3x/ (x+2)(x-3)(x-1)

Perform the indicated operation and simplify the result. Leave your answer in factored form 8x^2/x2-25 * x^3-125/2x

4x(x^2+5x+25)/x+5

x/x^2-64 + 6/x

7x^2-384/x(x^2-64)

Perform the indicated operation and simplify the result. Leave your answer in factored form 9+(1/x)/5-(1/x)

9x+1/5x-1

Use synthetic division to determine whether x-4 is a factor of 3x^4-12x^3-5x+20 a. no the remainder is ? b. yes the remainder is 0

B

Use synthetic division x^5-1 divided by x-1 Q: R:

Q: x^4+x^3+X^2+x+1 Remainder: 0

Use synthetic division to find the remainder and the quotient x^5-6x^3+2x id divided by x+1 Q: .R:

Q: x^4-x^3-5x^2+5x-3 R: 3

Solve the given formula S=a/1-r

S-a/S

Use the discriminant to determine whether the quadratic equation has two unequal real​ solutions, a repeated real​ solution, or no real​ solution, without solving the equation. 3x^2-x+3=0 a. there are two unequal real solution b. there is a repeated solution c. there is no real solution

c

Find the real solutions of the equation. |2-2t|+2=8

{-2,4}

Solve the equation x^3-19x^2=0

{0,19}

Solve the equation (x+7)(x-3)=(x+1)^2

{11}

3/x-2= -6/x+6 + 33/(x-2)(x+6)

{3}

Solve the equation by the square root method (x-2)^2=16

{6, -2}

3x^2-13x+14=0

{7/3, 2}