Question

Factor the four-term polynomial. ab ac - 4b - 4c

Answer 1

The factored form of the given polynomials ab + ac - 4b - 4c is (b+c)(a-4)

Explanation:

Consider the given polynomials ab + ac - 4b - 4c

We have to factor the given terms,

Since, there are four term , we can factorize using grouping like terms toether,

Like terms are term having atleast one common factor.

Here, ab and ac are like terms and -4b and - 4c

So, (ab+ ab) + (-4b -4c)

Taking a common from first bracket and -4 common from last two brackets, we have,

= a(b+c) -4(b+c)

Again taking (b+c) common from both, we get,

= (b+c)(a-4)

Thus, The factored form of the given polynomials ab + ac - 4b - 4c is (b+c)(a-4)

Answer 2

a b + a c - 4 b - 4 c = a ( b + c ) - 4 ( b + c ) =
= ( b + c ) ( a - 4 )