Practice the worksheet on factoring out a common binomial factor from a polynomial expression which is similar to factoring using G.C.F.
We know, G.C.F of some of the terms is a binomial instead of monomial. In such cases we can factor the entire binomial from the expression. Thus, this find of binomial which is the G.C.F of more than one term in a polynomial is called the common binomial factor.
1. Factorize by taking binomial as a common factor:
(i) 3(x + 5) + 7(x + 5)
(ii) (x + 4)x + (x + 4)5
(iii) 2(5x + 3y) + z(5x + 3y)
(iv) 3r(x – 4y) – 5p(x – 4y)
(v) b(x – y) + a (y – x)
Hint: (y – x) to – (x – y)
2. Factorize a common binomial factor from each of the following expression:
(i) x(a + b) – y(a + b)
(ii) 15(pq + 1) + 3r(pq + 1)
(iii) l^{2} + m^{2} + 9a(l^{2} + m^{2})(v) l(3m – 7n)  n(3m – 7n)
(vi) (2m – 5) (3a  2b)  (2m – 5) (2b – 3a)
(vii) x(x + y) + (5x + 5y)
(viii) (6xy + 3x) + (2y + 1)
(ix) p(q – r)^{2} – s(r  q)^{3}(x) (c – 3) + (3ab – abc)
Hint : 3ab – abc = ab(3  c) =  ab(c – 3)
Answers for the worksheet on factoring out a common binomial factor are given below to check the exact answers of the above factorization.
Answers:
1. (i) 10(x + 5)
(ii) (x + 4) (x + 5)
(iii) (5x + 3y) (2 + z)
(iv) (x – 4y) (3r  5p)
(v) (x – y) (b – a)
2. (i) (a + b) (x – y)
(ii) 3(pq +1) (5 + r )
(iii) (l^{2} + m^{2}) (1 + 9a)(iv) (l + m) (3 – 5l – 5m)
(v) (3m – 7n) (l – n)
(vi) 2(2m – 5) (3a – 2b)
(vii) (x + y) (x + 5)
(viii) (3x + 1) (2y + 1) (ix) (q – r)^{2} (p + sq – sr)(x) (1 – ab) (c – s)
Math Homework Sheets
From Worksheet on Factoring out a Common Binomial Factor to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.

New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.