Name:__________ warm-up 5-5

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Name:__________ warm-up 5-5 Simplify (m3 – 3m2 – 18m + 40) ÷ (m + 4). Simplify (p3 – 8) ÷ (p – 2). Simplify (4x4 – x3 – 19x2 + 11x – 3) ÷ (x – 2).

If the area of a parallelogram is given by x2 – 5x + 4 and the base is x – 1, what is the height of the figure? The volume of a box is given by the expression x3 + 3x2 – x – 3. The height of the box is given by the expression x – 1. Find an expression for the area of the base of the box. http://www.virtualnerd.com/tutorials/?id=Alg2_06_02_0008 Writing a polynomial as a quadratic polynomial

Name:__________ warm-up 5-5 Factor the polynomial x 3 – 800. If the polynomial cannot be factored, write prime Factor the polynomial 64x 5 + 8x 2y 3. If the polynomial cannot be factored, write prime Factor the polynomial x 5 + 8y 3. If the polynomial cannot be factored, write prime Factor the polynomial 24x³ -24. If the polynomial cannot be factored, write prime

If the area of a parallelogram is given by x2 – 6x + 5 and the base is x – 1, what is the height of the figure? The volume of a box is given by the expression x3 - 5x2 + 8x – 4. The height of the box is given by the expression x – 1. Find an expression for the area of the base of the box.

Details of the Day Activities: EQ: How do polynomials functions model real world problems and their solutions? I will be able to… Activities: Warm-up Review homework Notes: Dividing Polynomials Quiz- 5-1&2 Marking Period Exam – Friday April 11 All make-up work due Wednesday, April 9-no exceptions Vocabulary: prime polynomials quadratic form Factor polynomials. . Solve polynomial equations by factoring.

Details of the Day Activities: EQ: How do polynomials functions model real world problems and their solutions? I will be able to… Activities: Warm-up Review exam Notes: 5-5 (rest) Classwork/homework Grades are posted Vocabulary: prime polynomials quadratic form Factor polynomials. . Solve polynomial equations by factoring.

5-5 Solving Polynomial Equations x 6 – 35x 3 + 216 = 0. Slope x 4 – 29x 2 + 100 = 0. x 4 – 29x 2 + 100 = 0 SlopeSlopeSlopeSlopeSlopeSlopeSlopeSlope

A Quick Review Simplify (m3 – 3m2 – 18m + 40) ÷ (m + 4). Simplify (p3 – 8) ÷ (p – 2). Simplify (4x4 – x3 – 19x2 + 11x – 3) ÷ (x – 2).

A Quick Review If the area of a parallelogram is given by x2 – 5x + 4 and the base is x – 1, what is the height of the figure? The volume of a box is given by the expression x3 + 3x2 – x – 3. The height of the box is given by the expression x – 1. Find an expression for the area of the base of the box.

Notes and examples http://www.bing.com/videos/search?q=factoring+polynomials&FORM=VIRE6#view=detail&mid=41A95C01C3BE9E819D4041A95C01C3BE9E819D40 http://www.bing.com/videos/search?q=factoring+polynomials&FORM=VIRE6#view=detail&mid=D5ED38811926A89ECFFCD5ED38811926A89ECFFC http://www.bing.com/videos/search?q=Factoring+Polynomials+with+2+Terms&FORM=RESTAB#view=detail&mid=7DE68BC813D6CC68000C7DE68BC813D6CC68000C Factor the polynomial x 3 – 400. If the polynomial cannot be factored, write prime Factor the polynomial 24x 5 + 3x 2y 3. If the polynomial cannot be factored, write prime

Notes and examples Factor the polynomial 54x 5 + 128x 2y 3. If the polynomial cannot be factored, write prime. Factor the polynomial 64x 9 + 27y 5. If the polynomial cannot be factored, write prime

Notes and examples

Notes and examples Factor the polynomial x 3 + 5x 2 – 2x – 10. If the polynomial cannot be factored, write prime. Factor the polynomial a 2 + 3ay + 2ay 2 + 6y 3. If the polynomial cannot be factored, write prime.

Notes and examples Factor the polynomial d 3 + 2d 2 + 4d + 8. If the polynomial cannot be factored, write prime. Factor the polynomial r 2 + 4rs 2 + 2sr + 8s 3. If the polynomial cannot be factored, write prime

Notes and examples Factor the polynomial x 2y 3 – 3xy 3 + 2y 3 + x 2z 3 – 3xz 3 + 2z 3. If the polynomial cannot be factored, write prime Factor the polynomial 64x 6 – y 6. If the polynomial cannot be factored, write prime

Notes and examples Factor the polynomial r 3w 2 + 6r 3w + 9r 3 + w 2y 3 + 6wy 3 + 9y 3. If the polynomial cannot be factored, write prime . Factor the polynomial 729p 6 – k 6. If the polynomial cannot be factored, write prime The Factor Theorem http://www.bing.com/videos/search?q=Factor+Theorem&FORM=VRIBRE#view=detail&mid=A4762102AABEB292EDBFA4762102AABEB292EDBF

Notes and examples GEOMETRY Determine the dimensions of the cubes below if the length of the smaller cube is one half the length of the larger cube, and the volume of the shaded figure is 23,625 cubic centimeters.

Notes and examples GEOMETRY Determine the dimensions of the cubes below if the length of the smaller cube is one half the length of the larger cube, and the volume of the shaded figure is 5103 cubic centimeters

Notes and examples Write 2x 6 – x 3 + 9 in quadratic form, if possible

Notes and examples Write 6x 10 – 2x 5 – 3 in quadratic form, if possible Write x 8 – 3x 3 – 11 in quadratic form, if possible.

Notes and examples Solve x 4 – 29x 2 + 100 = 0

Notes and examples

Notes and examples