Quadratics — Quiz 4

Questions in this quiz (7)

1. If $$x + 4$$ is a factor of $$2x^2 - 7x + m$$, what is the value of $$m$$?

   • $$m = -60$$
   • $$m = 60$$
   • $$m = 28$$
   • $$m = 32$$

2. What are the solutions of the equation $$(|z|-4)^2=25$$

   • {2 , -2}
   • {9 , -9}
   • {5 , -5}
   • {4 , -4}

3. What are all the solutions of the equation:$$|y^2|+3|y|-18=0?$$

   • $$3 , -6$$
   • $$6 , -3$$
   • $$3 , 6$$
   • $$3 , -3$$

4. In the $$xy$$-plane, the graph of the equation $$y = -x^2 + 8x - 50$$ intersects the line $$y = k$$ at exactly one point. What is the value of $$k$$?

   • 34
   • -34
   • 64
   • -4

5. For a single production run, when $n$ items are made and sold, a company's profit, $P$, in dollars, can be modeled by:$$P = n^2 - 250n - 50,000.$$What is the smallest number of items that must be made and sold in order for the company not to lose money on the production run?

   • 382
   • 762
   • 262
   • 250

6. The given quadratic function $$72x^4 + 265x^2 + 200$$ has factors in the form $$(k)(ax^2 + b)(cx^2 + d)$$.If $$a$$, $$b$$, $$c$$, $$d$$, and $$k$$ are integers, what is the smallest possible value of $$ab$$?

   • 265
   • 600
   • 200
   • 240

7. If $$(x-4)$$ and $$(x+2)$$ are factors of the quadratic expression below, what is the value of $$m+n$$?$$x^2+(m-6)x+m-n$$

   • $$2$$
   • $$0$$
   • $$16$$
   • $$8$$