Polynomial In Standard Form Worksheet
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2Name:_______________________
Algebra2 Ch5 Review
Write each polynomial in standard form. Then classify it by degree and number of terms. Describe end behavior.
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1.) y = 2x(x
– 3)(x
+ 2)
2.) y = (x – 2)(x + 1)(x + 1)
3.) y = 2x
+ 8 – 4x + x
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4.) For y = (x + 7)(5x + 2)(x – 6)
, determine the zeros and multiplicity of any multiple zeros.
5.) Write a polynomial function with the given zeros. x =
6.) Find a third-degree polynomial equation with rational
-2, -1, 4
coefficients that has roots -4 and 2i.
Divide.
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7.) (3x
– 5x
+ 2x
+ 3x – 2) ÷ (3x – 2)
8.) (x
– 4x
+ 6x – 4) ÷ (x – 2)
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9.)If the polynomial x
+ x
– 6x expresses the volume, in cubic inches, of the box, and the width is
x in., what are the dimensions of the box?
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10.) Write each polynomial in factored form. y = 9x
+ 6x
– 3x
Factor completely, then find the solutions.
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11.) x
- 10x
= -9
12.) x
+ 27 = 0
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