# 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 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. 👍
2. 👎
3. 👁
1. 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.

1. 👍
2. 👎

## Similar Questions

Linnaean classification involves A. only large, general categories of organisms. B. only small, specific categories of organisms. C. both large and small categories of organisms.*** D. no categories of organisms. For many species,

2. ### Math

Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another

3. ### Algebra 2

Which of the following binomials is a factor of x^3+4x^2+x-6 x-2 x+2 x-4 x+4

4. ### Factor out the Greatest Common Factor (GCF)

Factor out the Greatest Common Factor (GCF): 45d^3-18d^2

1. ### algebra--1 question

Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another problem that

2. ### Algebra

1- Subtract (7a^2 - 3a) - (5a^2 - 5a) a) 2a^2 + 2a b) 2a^2 - 8a** c) 12a^2 - 8a d) 12a^2 + 2a 2- Is x(4x^2 - 16) completely factored? If not, how else can it be factored? a) no; 4 can be factored from each term of the binomial AND

1.Factor 3/4 out of 3/4z+6. 2.Factor 18x+6y using the GCF. 3.Factor −5 out of −10a−25

4. ### Algebra 2

Examine the polynomial p(x)=6x^3+17x^2−24x−35. Use the Factor Theorem to identify which binomial is a factor of p(x). a.3x+5 b.2x+7 c.x−1 d.2x−7 I thought that 2x+7 was a factor of p(x) but I don't know and I am confused

1. ### Algebra

Factor the GCF out of 5x2 - 10x? I know I need to find the GCF of the coefficients but I need to write it using the distributive property. Help please?

2. ### statistics

Answer the following: (A) Find the binomial probability P(x = 5), where n = 12 and p = 0.70. (B) Set up, without solving, the binomial probability P(x is at most 5) using probability notation. (C) How would you find the normal

3. ### Math

Use the Remainder Theorem to determine if x-2 is a factor of the polynomial f(x) =3x^5 -7x^3-11x^2 +2 I feel like I went too far or messed up please help The binomial (x-2) is not a factor because the remainder does not equal 0

4. ### Algebra 2

Use the factor theorem to determine whether the binomial is a factor of the given polynomial. 1. t+sqrt2; P(t)=t^5+t^4+4t+4 2. z-i; P(z)=z^7+z^6+z^5+z^4+z^3+z^2+z+1 3. z+2i; P(z)=z^3+z^2+4z+4 Thanks