Question

simplify (3x^2-4x+1) (2x+x^2-9)

Answer 1

dude take help from these

1. simplify the expression x^2+4x+3/ x^2-9
A. x-3/x-3 x not equal to 3 or -3
B. x-1/x-3 x not equal to 3 or -3
C. x+1/x-3 x not equal to 3 or -3
D. none of these

2. Solve the equation 3^3x = 81^3x-4
A. 4/3
B. no solution
C. 16/9
D. 4/3

3. 3^2x=9^2x+4 x=___?
A. x = 4
B. x = 8
C. x = -4
D. x = 2

4. The vertical asymptote in the graph of the equation f(x)=7/x-3 would be the line:
A. x=3
B. x=-3
C. y=3
D. y=-3
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1. (x² + 4x + 3) / (x² - 9)
= (x + 3)(x + 1) / (x - 3)(x + 3)
= (x + 1) / (x - 3)

Look back at the original equation, you have (x² - 9) in the denominator, this means that x cannot be 3 or -3. Answer is c).


2. 3^(3x) = 81^(3x - 4)
3^(3x) = [3^4]^(3x - 4)
3^(3x) = 3^(12x - 16)
3x = 12x - 16
9x = 16
x = 16 / 9

Answer is c).


3. 3^(2x) = 9^(2x + 4)
3^(2x) = [3²]^(2x + 4)
3^(2x) = 3^(4x + 8)
2x = 4x + 8
2x = -8
x = -4

Answer is c).


4. f(x) = 7 / (x - 3); set the denominator to 0 and solve for x to get vertical asymptote

x - 3 = 0
x = 3

Answer 2

You got to simplify both separately

Answer 3

Use a grid



add along the diagonals to collect like terms

the answer is

\[3x^4 + 2x^3 -34x^2 + 38x - 9\]