math
posted by mark .
Consider the following binomials.
A=(x^2+5x) B=(6x+30)
Part 1: Factor each binomial by finding the GCF. Then, add the two factored binomials to make a single expression.
Part 2: Now add the original forms of binomial A and B together to make a trinomial. Factor the trinomial.
Part 3: Do you see something you could do to your answer in Part A to get your answer to Part B? Explain.
I know how to factor the binomials by finding the GCF. But I'm confused in this case for Parts A and B. For B, I think the gcf can be 3 and for A, the GCF can be 5.

1. The GCF is x + 5
A = (x+5)x and b = 6(x+5)
2. A + B = x^2 + 11 x + 30 = (x+6)(x+5)
3. Looking at the answer in (1), it can also be written (x+5)(x+6), with the GCF as one of the factors.
Respond to this Question
Similar Questions

math
express this in binomial: 2 4ez (4ez) the 2 is the square.. can anyone teach me how to do this? 
math
Consider the following binomials. A=(x^2+5x) B=(6x+30) Part 1: Factor each binomial by finding the GCF. Then, add the two factored binomials to make a single expression. Part 2: Now add the original forms of binomial A and B together … 
math
Consider the following binomials. A=(x^2+5x) B=(6x+30) Part 1: Factor each binomial by finding the GCF. Then, add the two factored binomials to make a single expression. Part 2: Now add the original forms of binomial A and B together … 
Math
Expand the following binomials to look for patterns when expanding binomials. Try to find a pattern that will allow you to expand binomials without carrying out all of the steps. (x + 2)3 (2x+1)4 (2x1)4 (2x2)3 
MATH
GIVE AN EXAMPLE OF THE SUM OF 2 BINOMIALS THAT IS A BINOMIAL 
binomials
GIVE AN EXAMPLE OF THE SUM OF 2 BINOMIALS THAT IS A BINOMIAL 
algebra 2
this binomial can be factored as the product of a binomial and trinomial. Enter the binomial factor. 64y^15 + 125 
Math
Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? 
Math
Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? 
algebra1 question
Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial?