1. Write the slope-intercept form of the line that passes through the point (-2,-5) and is parallel to the line y=-6x+1.

2. Find all real zeros of the function: g(x)=2x(cubed)-x(squared)-10x+5

3. Write the polynomial as a product of linear factors. x(cubed)-2x(squared)-9x+18

4. Multiply (x+1)(2x-1)(x+3)

5. (-7x"squared"+3) + (4x"squared" + 2x -1)

6. A certain gas will escape from a storage tank according to the formula e=140(the square root of p), where e represents the amount escaping per minute in gallons and p represents the pressure in pounds per square inch. What is the pressure on the gas when about 280 gallons per minute are escaping?

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Originally Posted by Kylesgurl87

2. Find all real zeros of the function: g(x)=2x(cubed)-x(squared)-10x+5

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g(x)=2x^3-x^2-10x+5=x^2*(2x-1) -10*(2x-1)=(2x-1)*(x^2-10)

-> g(x) == 0 <=> 2x-1 == 0 OR x^2-10 == 0 <==> x == 1/2 OR x = +- square root( 10 )

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Originally Posted by Kylesgurl87

3. Write the polynomial as a product of linear factors. x(cubed)-2x(squared)-9x+18

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This is the same thing as above, except you don't have to find the real zeros. Just use the previous example, and it will be easy to figure it out.

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Originally Posted by Kylesgurl87

4. Multiply (x+1)(2x-1)(x+3)

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You're kidding, right?

Quote:

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Originally Posted by Kylesgurl87

5. (-7x"squared"+3) + (4x"squared" + 2x -1)

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What are you supposed to do with this?

Quote:

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Originally Posted by Kylesgurl87

6. A certain gas will escape from a storage tank according to the formula e=140(the square root of p), where e represents the amount escaping per minute in gallons and p represents the pressure in pounds per square inch. what is the pressure on the gas when about 280 gallons per minute are escaping?

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e = escaping amount of gas per minute (in gallons) = 280

e = 140*square root( p ) -> square root( p ) = e / 140 -> p = ( e / 140 )^2

Do the rest on your own.