Polynomials, exponents, and scientific notation
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Using the power rules with integral exponents
(2s^-1t^3)/(6s^2t-4)^3
9.3*10-5
Computations with scientific notations
9*10^-4/3*10^-6
Evaluating Polynomials
-2x^4 - 3x^2 + 5x -9 for x =2
Multiplying Monomials
-12sq * 3a
Multiplying Polynomials
(3c^2d - d^3 + 1) 8cd^2
Perform the operation
(5x-6)(5x-6)
Use the foil method to find each product
(11x + 3y) (x+4y)
foil method
(5y^3w^2 + 2) (2y^3 w^2 + 3z)
Multiplying Binomials Quickly
(3h -5) (3h + 5)
Product of a sum and difference
( 3y^2 + 1) ( 3y^2 - 1)
Find each product
(3z^4 -8)^2
(2/3y - 1/2)^2
Dividing Monomials
b^19/b^12
-12z^10y^2/-2z^4y^2
Dividing a polynomial by a monomial
5y^3 -10/-5
Write the expression in the form
quotient + remainder/divisor
2x^2 + 4/ 2x
Area of a dot. If the radius of a very small circle is 2.35 * 10^-8 centimeters, then what is the circle's area?
Perimeter of a rectangle. The perimeter of a rectangular backyard is 6x + 6 yards. If the width is x yards, find a binomial that represents the length.
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Solution Summary
This provides examples of working with exponents, scientific notations, and polynomials, including operations and evaluation. It also includes area and perimeter word problems.
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Using the power rules with intergral exponents
(2s^-1t^3)/(6s^2t-4)^3
(2s-1 t3)/(6s2t-4)3 = (2t3t12)/(216s6s) = (2t15)/(216s7) = (t15)/(108s7)
9.3*10-5
= 0.000093
Computations with scientific notations
9*10^-4/3*10^-6
= 9 (10-4/3) * 10-6
= 9 / ((104/3) * 106)
= 9 / (1022/3)
Evaluating Polynomials
-2x^4 - 3x^2 + 5x -9 for x =2
= -2 (2)4 - 3(2)2 + 5(2) - 9
= -32 - 12 + 10 - 9
= ...
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