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Magazine Problem 26
Solve each equation analyrically for all complex solutions, giving exact forms in your solution set. Then graph the left side of the equation as \(Y_{1}\) in the suggested viewing window and, using the capabilities of vour calculater, suppert the real solutions. $$\begin{aligned}&-5 x^{3}+13 x^{2}+6 x=0\\\&[-4,4] \text { by }[-2,30]\end{aligned}$$
Problem 27
Find each quotient when \(P(x)\) is divided by the specified binomial. $$P(x)=x^{3}+2 x^{2}-3 ; x-1$$
Problem 27
Solve each equation analyrically for all complex solutions, giving exact forms in your solution set. Then graph the left side of the equation as \(Y_{1}\) in the suggested viewing window and, using the capabilities of vour calculater, suppert the real solutions. $$\begin{aligned}&x^{3}+x^{2}-7 x-7=0\\\&[-10,10] \text { by }[-20,20]\end{aligned}$$
Problem 27
Find a polynomial function \(P(x)\) having leading coefficient 1, least possible degree, real coefficients. and the given zeros. \(6-3 i\) and \(-1\) (multiplicity 2 )
Problem 28
Find a polynomial function \(P(x)\) having leading coefficient 1, least possible degree, real coefficients. and the given zeros. \(1+2 i \text { and } 2 \text { (multiplicity } 2)\)
Problem 28
Solve each equation analyrically for all complex solutions, giving exact forms in your solution set. Then graph the left side of the equation as \(Y_{1}\) in the suggested viewing window and, using the capabilities of vour calculater, suppert the real solutions. $$\begin{aligned}&x^{3}+3 x^{2}-19 x-57=0\\\&[-10,10] \text { by }[-100,50]\end{aligned}$$
Problem 28
Find each quotient when \(P(x)\) is divided by the specified binomial. $$P(x)=x^{3}-2 x^{2}-9 ; \quad x-3$$
Problem 29
Solve each equation analyrically for all complex solutions, giving exact forms in your solution set. Then graph the left side of the equation as \(Y_{1}\) in the suggested viewing window and, using the capabilities of vour calculater, suppert the real solutions. $$\begin{aligned}&-3 x^{3}-x^{2}+6 x=0\\\&[-4,4] \text { by }[-10,10]\end{aligned}$$
Problem 29
Find a polynomial function \(P(x)\) having leading coefficient 1, least possible degree, real coefficients. and the given zeros. \(2+i \text { and }-3 \text { (multiplicity } 2)\)
Problem 29
Find each quotient when \(P(x)\) is divided by the specified binomial. $$P(x)=-2 x^{3}-x-2 ; \quad x+1$$
