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(c - d)(c + d)

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Q: How do you factor C² - D²?
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What is the greatest common factor of the terms 14c2d and 42c3d?

The greatest common factor of these terms is 14c2d.14(c^2)dThe GCF of 14 and 42 is 14.The GCF of (c^2)d and (c^3)d is (c^2)d.


D squared divided by d-c plus c squared divided by c-d?

d2/(d - c) + c2/(c - d) = d2/(d - c) - c2/(d - c) = (d2 - c2)/(d - c) = (d + c)(d - c)/(d - c) = d + c


How do you graph a function with no domain?

You can't.If f: D --> C where D is the domain of the function f and C is its codomain and D = Ø, then there are no d Є D. Therefore there are no c Є C : f(d) = c. Thus there are no ordered pairs (d, c) to graph.


Why might it be useful to know the linear factors of a polynomial function?

It is useful to know the linear factors of a polynomial because they give you the zeros of the polynomial. If (x-c) is one of the linear factors of a polynomial, then p(c)=0. Here the notation p(x) is used to denoted a polynomial function at p(c) means the value of that function when evaluated at c. Conversely, if d is a zero of the polynomial, then (x-d) is a factor.


How do you do the divide out common factors?

Suppose you have a fraction in the form a/b and suppose c is a common factor of a and b.c is a factor of a so that a = c*xc is a factor of b so that b = c*ywhere x and y are integers.And so a/b = cx/cy = x/y.The process is as follows:find a common factor, c, of the numerator (a) and the denominator (b).the new numerator is the old numerator divided by the common factor that is, x = a/c;the new denominator is the old denominator divided by the common factor that is, y = b/c;the new fraction is x/y.