Factor the Polynomial
wv-4v+wk-4k
v(w-4)+k(w-4)
(w-4)(v+k)
To factor the polynomial wv-4v+wk-4k, we can factor out the common factors of v and k.
First, let's factor out v and k:
= v(w - 4) + k(w - 4)
Now, we can see that there is a common factor (w - 4) in both terms.
= (w - 4)(v + k)
Therefore, the factored form of the polynomial wv-4v+wk-4k is (w - 4)(v + k).
To factor the polynomial wv-4v+wk-4k, we can try to factor out common terms from each pair of terms. Notice that the variables v and k are shared by the first and the second term, respectively. Similarly, the terms w and -4 are common in the first and third terms. Therefore, we can factor the polynomial as follows:
wv - 4v + wk - 4k
= v(w - 4) + k(w - 4)
Now, you can see that both terms have a common factor, which is (w - 4). By factoring it out, we get:
= (w - 4)(v + k)
So, the factored form of the polynomial wv-4v+wk-4k is (w - 4)(v + k).