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factor xsquared-7x-30 completely

a. (x-1)(x+30)

b. (x-5)(x+6)

c. (x-10)(x+3)

d. (x+2)(x-15)

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Parviz F. | Mathematics professor at Community CollegesMathematics professor at Community Colle...
4.8 4.8 (4 lesson ratings) (4)
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( X+ a)( X+b) = X2 + ( a+b)X+ ab
 
   This is a general formula, where Multiplying binomial by binomial result in a trinomial( polynomial of 2nd degree or quadratic).
     You have to be able to factor any quadratic 2 two binomial, and solve it.
     and expand it.
 
      ( X-1) ( X +30) = X+ 29X - 30
       
       ( X - 5) ( X +6 ) = X+ X -30
 
        ( X + 2) ( X -15) = X2 - 13X - 30    You see that Coeficient of X is ( a+b) and constant is ab
     
Ralph L. | Algebra I, II, Visual Basic, Beginning C++ tutorAlgebra I, II, Visual Basic, Beginning C...
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c. just expand it.