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Magazine Problem 23
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. $$\begin{aligned}&x^{3}-x^{2}-64 x+64=0\\\&[-10,10] \text { by }[-300,300]\end{aligned}$$
Problem 23
Find each quotient when \(P(x)\) is divided by the specified binomial. $$P(x)=3 x^{3}-11 x^{2}-20 x+3 ; \quad x-5$$
Problem 24
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. $$\begin{aligned}&x^{3}+6 x^{2}-100 x-600=0\\\&[-15,15] \text { by }[-1000,300]\end{aligned}$$
Problem 24
Find each quotient when \(P(x)\) is divided by the specified binomial. $$P(x)=x^{4}-3 x^{3}-5 x^{2}+2 x-16 ; \quad x-3$$
Problem 24
Find a polynomial function \(P(x)\) having leading coefficient 1, least possible degree, real coefficients. and the given zeros. \(-2+i,-2-i, 3,\) and \(-3\)
Problem 25
Find each quotient when \(P(x)\) is divided by the specified binomial. $$P(x)=x^{4}-3 x^{3}-4 x^{2}+12 x ; \quad x-2$$
Problem 25
Find a polynomial function \(P(x)\) having leading coefficient 1, least possible degree, real coefficients. and the given zeros. \(3+2 i,-1,\) and 2
Problem 25
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. $$\begin{aligned}&-2 x^{3}-x^{2}+3 x=0\\\&[-4,4] \text { by }[-10,10]\end{aligned}$$
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 26
Find each quotient when \(P(x)\) is divided by the specified binomial. $$P(x)=2 x^{4}+3 x^{3}-5 x^{2}-18 x ; \quad x-2$$
