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Answers by Sheila M.

Hi, Towan. x4 (x2 + 5x - 14) - 16 (x2 + 5x - 14) First recognize that x2 + 5x - 14 is a "common factor."  So rewrite as: (x2 + 5x - 14)(x4 - 16) Both of these polynomial groupings may be factored further.   The first...

Hi, Allison. I thought I'd throw in my two cents here too. When I teach these type of problems (mixture story problems), I tell my students to look for two ideas: Quantity and Value.  These two ideas will create two equations for the story. Quantity - answers the question, "How...

You can always distribute, Jamal, if formulas elude you... First of all (6b + 2)^2 means (6b + 2)(6b + 2) The acronym FOIL stands for First Outer Inner Last; this phrase helps students to keep track of what they're distributing.   F: 6b • 6b O: 6b • 2 I:...

(2a+4)^3=? (answer)

(2a + 4)^3 means (2a + 4)(2a + 4)(2a + 4) Multiply the first two groupings together using FOIL: (2a + 4)(2a + 4) =  4a^2 + 8a + 8a + 16 Combine like terms:  4a^2 + 16a + 16 Now take that answer and multiply by the third grouping...

Are you trying to write 2 to the 9th minus 8 to the 3rd? If so, write it like this:  2^9 - 8^3 (this way we know what you're asking) If this indeed is your question, use order of operations to help you calculate.  Applying exponents comes before adding or subtracting.   So...

a^3 b  =    7                   .   4           v c^2 Brian is right in his steps... just thought you would like to see what is happening with each of those steps: The object is to get the variable,...

Hi, Leanna. In my Algebra class we are doing something similar to this.  Without the directions, it's hard to say if it's the same as our lesson. Anyway, our book asks us to come up with possible number(s) to put in the blank so that you can factor the polynomial, 5x^2 + 11 x +...

y= -x+8 and y=x (answer)

Hi, Shay. This problem looks like a good candidate for using substitution to solve it. y = -x  + 8 y = x We can substitute x (from the second equation) in place of y (in the first equation): x = -x  +  8 Now solve the new equation by getting the...

They work the same way as each other ... You can express exponential equations using logarithms and vice versa: logb(expression) = number ... means the same thing as bnumber = (expression). What I tell my students is to remember to keep the bases the same, and the exponent of the...

Hi, Christine. Typically in literal equations, the student is asked to solve for one of the variables in the problem.  For example, in your equation 7x  + 2y  =  5, you might have been asked to solve for y.  This means you need to isolate the y by the same method...

-6(4-t)=12t (answer)

Hi, Caitlin. To solve equations like this type, make sure to follow three steps: 1) Simplify both sides of the equation 2) Make sure there is only a variable term (letters) on one side of the equation 3) Think "opposite" - that is, do opposite operations in the opposite...

Hi, Kristine. This polynomial has a GCF (Greatest Common Factor) of 2.  The only thing you can do with this one is to rewrite it with a 2 in front of a grouping like this: 2(                       ) And then get the numbers...

10-(2x-1)=3-3x (answer)

Hi, Clifford. No, do not multiply the 10 times the terms in the grouping (parentheses).  The 10 is not immediately in front of it, the negative sign is.  You will be multiplying the terms in the grouping by -1 (the 1 is understood).  So your new equation will look like this: 10...

Hi, Kristine. When you are factoring polynomials of this type, think of all the possible factors of the last term (neg 48): 1 * -48 2 * -24 3 * -16 4 * -12 6 * - 8 8 * - 6 12 * -4 16 * -3 24 * -2 48 * -1 Of all these pairs, one of them fits into (x...