91Ó°ÊÓ

Solve each equation. For equations with real solutions, support your answers graphically. $$-3 x^{2}+4 x+4=0$$

Multiply as indicated. Write each product in standand form. $$(2+4 i)(-1+3 i)$$

Find the equation of the quadratic function satisfying the given conditions. (Hint: Determine values of \(a\), \(h,\) and \(k\) that satisfy \(P(x)=a(x-h)^{2}+k .\) ) Express your answer in the form \(P(x)=a x^{2}+b x+c\). Use your calculator to support your results. Vertex \((8,3) ;\) through \((10,5)\)

Find the equation of the quadratic function satisfying the given conditions. (Hint: Determine values of \(a\), \(h,\) and \(k\) that satisfy \(P(x)=a(x-h)^{2}+k .\) ) Express your answer in the form \(P(x)=a x^{2}+b x+c\). Use your calculator to support your results. Vertex \((-6,-12) ;\) through \((6,24)\)

Solve each equation. For equations with real solutions, support your answers graphically. $$-5 x^{2}+28 x+12=0$$

Multiply as indicated. Write each product in standand form. $$(1+3 i)(2-5 i)$$

Find the equation of the quadratic function satisfying the given conditions. (Hint: Determine values of \(a\), \(h,\) and \(k\) that satisfy \(P(x)=a(x-h)^{2}+k .\) ) Express your answer in the form \(P(x)=a x^{2}+b x+c\). Use your calculator to support your results. Vertex \((-4,-2) ;\) through \((2,-26)\)

Solve each equation. For equations with real solutions, support your answers graphically. $$(x+5)(x-6)=(2 x-1)(x-4)$$

Multiply as indicated. Write each product in standand form. $$(-3+2 i)^{2}$$

Solve each equation. For equations with real solutions, support your answers graphically. $$(x+2)(3 x-4)=(x+5)(2 x-5)$$