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

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

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

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

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

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

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

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

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( X+ a)( X+b) = X^{2} + ( 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^{2 }+ 29X - 30

( X - 5) ( X +6 ) = X^{2 }+ X -30

( X + 2) ( X -15) = X^{2} - 13X - 30 You see that Coeficient of X is ( a+b) and constant is ab

c. just expand it.