Answer:
The factored form of the given polynomials ab + ac - 4b - 4c is (b+c)(a-4)
Step-by-step 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)
