Identify all of the roots of g(x)=(x^2+3x-4)(x^2-4x+29)

The roots of is -4 and 1

Solution:

From question, given that

To factorize the first expression that is ,follow the below steps:

---- eqn (1)

“3x” can be rewritten as 4x-x. Now the above equation becomes,

By taking x as common from -1 from -x-4 the above equation becomes,

=x (x+4) - 1(x+4)

=(x+4)(x-1)

Hence the factors of    

so the roots of is -4 and 1.

Now to factorize the second expression that is ,follow the below steps:

 --- eqn (2)

Equation (2) cannot be factorized (imaginary roots)

Hence the roots of is -4 and 1.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

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