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Day 128
Write in your own words:
a) product of powers properties
b) power of a power property
c) power of a product propertyDay 129
Explain why a cannot equal zero in the negative exponents property.
Day 130
Describe what it means for a number to be written in scientific notation. Use specific examples in you description.
Day 131
Why do you think that scientists prefer to work with numbers written in scientific notation? Use specific examples to support your position.
Day 132
Day 133
Explain what is meant by the degree of a polynomial. Give an example of a trinomial with a degree of 5.
Day 134
Explain how to check your answer when you subtract two polynomials.
Day 135
Day 136
Day 137
Explain why FOIL is only applicable when multiplying two binomials.
Day 138
Jack is a pen pal who lives in France. He has written to you about the troubles he is having in has algebra class. He is having a very hard time multiplying binomials. He has complained that there is no way for him to remember what steps to take and what order to perform the steps. Can you help Jack learn how to multiply binomials? Write a letter in which you explain the steps and an easy way to remember them. Include the proper heading and proper form for a friendly letter.
Day 139
Santiago is having trouble simplifying expressions because he is confused about when like terms are needed to complete an operation and when they are not. Write a description of how like terms affect the addition, subtraction, multiplication, and division of polynomials.
Day 140
If the greatest common factor of two numbers is 1, must the numbers be prime? Explain.
Day 141
Write a paragraph that explains how you can determine whether a binomial can be factored. Include an example of one binomial that can be factored and one binomial that cannot be factored.
Day 142
Day 143
Write a paragraph that explains how you can determine whether a trinomial can be factored. Include one example of a trinomial that can be factored and a trinomial that cannot be factored.
Day 144
Write a paragraph describing how to find two binomial factors for a trinomial in which the coefficient of the x term is 1.
Day 145
Define the terms prime polynomials and composite polynomial. Give an example of each term.
Day 146
Patsy says that 28f - 7g can be factored using the difference of squares. Sally says it cannot. Who is correct? Explain.
Day 147
Summarize the procedure for factoring a perfect square trinomial. Give at least two examples.
Day 148
What is special about perfect-square trinomials and differences of two squares?
Day 149
Suppose you are to solve 2x - 11x + 5 = 0. Would you use the quadratic formula or factoring? Explain why.
Day 150
Diana says that if (x+2)(x-3) = 8 then x+2 = 8 and x-3 = 8. Caitlin disagrees. Who is correct? Why?