Problem 1TI: Use the Remainder Theorem to evaluate f(x)=2x53x49x3+8x2+2 at x=3. Problem 2TI: Use the Factor Theorem to find the zeros of f(x)=x3+4x24x16 given that (x2) is a factor of the... Problem 3TI: Use the Rational Zero Theorem to find the rational zeros of f(x)=x35x2+2x+1. Problem 4TI: Find the zeros of f(x)=2x3+5x211x+4. Problem 5TI: Find a third degree polynomial with real coefficient that has zeros of 5 and -2i such that f(1)=10. Problem 6TI: Use Descartes’ Rule of Signs to determine the maximum possible numbers of positive and negative real... Problem 7TI: A shipping container in the shape of a rectangular solid must have a volume of 84 cubic meters. The... Problem 1SE: Describe a use for the Remainder Theorem. Problem 2SE: Explain why the Rational Zero Theorem does notguarantee finding zeros of a polynomial function. Problem 3SE: What is the difference between rational and realzeros? Problem 4SE: If Descartes’ Rule of Signs reveals a no changeof signs or one sign of changes, what... Problem 5SE: If synthetic division reveals a zero, why should wetry that value again as a possible solution? Problem 6SE: For the following exercises, use the Remainder Theorem to find the remainder. 6. (x49x2+14)(x2) Problem 7SE: For the following exercises, use the Remainder theorem to find the remainder. 7. (3x32x2+x4)(x+3) Problem 8SE: For the following exercises, use the Remainder theorem to find the remainder. 8. (x4+5x34x17)(x+1) Problem 9SE: For the following exercises, use the Remainder theorem to find the remainder. 9. (3x2+6x+24)(x4) Problem 10SE: For the following exercises, use the Remainder theorem to find the remainder. 10.... Problem 11SE: For the following exercises, use the Remainder theorem to find the remainder. 11. (x41)(x4) Problem 12SE: For the following exercises, use the Remainder theorem to find the remainder. 12. (3x3+4x28x+2)(x3) Problem 13SE: For the following exercises, use the Remainder theorem to find the remainder. 13. (4x3+5x22x+7)(x+2) Problem 14SE: For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial... Problem 15SE: For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial... Problem 16SE: For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial... Problem 17SE: For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial... Problem 18SE: For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial... Problem 19SE: For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial... Problem 20SE: For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial... Problem 21SE: For the following exercises, use the Factor Theorem to find all real zeros for the given polynomial... Problem 22SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. x33x210x+24=0 Problem 23SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 2x3+7x210x24=0 Problem 24SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. x3+2x29x18=0 Problem 25SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. x3+5x216x80=0 Problem 26SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. x33x225x+75=0 Problem 27SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 2x33x232x15=0 Problem 28SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 2x3+x27x6=0 Problem 29SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 2x33x2x+1=0 Problem 30SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 3x3x211x6=0 Problem 31SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 2x35x2+9x9=0 Problem 32SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 2x33x2+4x+3=0 Problem 33SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. x42x37x2+8x+12=0 Problem 34SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. x4+2x39x22x+8=0 Problem 35SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 4x4+4x325x2x+6=0 Problem 36SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 36.... Problem 37SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. x4+2x34x210x5=0 Problem 38SE: For the following exercises, use the Rational Zero Theorem to find all real zeros. 4x33x+1=0 Problem 39SE: For the following exercises, use the Rational Zero Theorem to find all real zeros.... Problem 40SE: For the following exercises, find all complex solutions (real and non-real). x3+x2+x+1=0 Problem 41SE: For the following exercises, find all complex solutions (real and non—real). x38x2+25x26=0 Problem 42SE: For the following exercises, find all complex solutions (real and non—real). x3+13x2+57x+85=0 Problem 43SE: For the following exercises, find all complex solutions (real and non—real). 3x34x2+11x+10=0 Problem 44SE: For the following exercises, find all complex solutions (real and non-real). x4+2x3+22x2+50x75=0 Problem 45SE: For the following exercises, find all complex solutions (real and non—real). 2x33x2+32x+17=0 Problem 46SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 47SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 48SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 49SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 50SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 51SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 52SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 53SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 54SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 55SE: Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph... Problem 56SE: For the following exercises, list all possible rational zeros for the functions. 56. f(x)=x4+3x34x+4 Problem 57SE: For the following exercises, list all possible rational zeros for the functions. 57.... Problem 58SE: For the following exercises, list all possible rational zeros for the functions. 58.... Problem 59SE: For the following exercises, list all possible rational zeros for the functions. 59.... Problem 60SE: For the following exercises, list all possible rational zeros for the functions. 60.... Problem 61SE: For the following exercises, use your calculator to graph the polynomial function. Based on the... Problem 62SE: For the following exercises, use your calculator to graph the polynomial function. Based on the... Problem 63SE: For the following exercises, use your calculator to graph the polynomial function. Based on the... Problem 64SE: For the following exercises, use your calculator to graph the polynomial function. Based on the... Problem 65SE: For the following exercises, use your calculator to graph the polynomial function. Based on the... Problem 66SE: For the following exercises, construct a polynomial function of least degree possible using the... Problem 67SE: For the following exercises, construct a polynomial function of least degree possible using the... Problem 68SE: For the following exercises, construct a polynomial function of least degree possible using the... Problem 69SE: For the following exercises, construct a polynomial function of least degree possible using the... Problem 70SE: For the following exercises, construct a polynomial function of least degree possible using the... Problem 71SE: For the following exercises, find the dimensions of the box described. 71. The length is twice as... Problem 72SE: For the following exercises, find the dimensions of the box described. 72. The length, width, and... Problem 73SE: For the following exercises, find the dimensions of the box described. 73. The length is one inch... Problem 74SE: For the following exercises, find the dimensions of the box described. 74. The length is three times... Problem 75SE: For the following exercises, find the dimensions of the box described. 75. The length is 3 inches... Problem 76SE: For the following exercises, find the dimensions of the right circular cylinder described. The... Problem 77SE: For the following exercises, find the dimensions of the right circular cylinder described. The... Problem 78SE: For the following exercises, find the dimensions of the right circular cylinder described. The... Problem 79SE: For the following exercises, find the dimensions of the right circular cylinder described. The... Problem 80SE: For the following exercises, find the dimensions of the right circular cylinder described. The... format_list_bulleted
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