algebra

Can anyone help me understand how to do this?
Factoring each polynomial
x^2+5ax+6a^2
and
solve each equation
a^2+a=20
I am so lost with this one I can not grab how you get a number from this.
thanks for trying who ever you may be

1. 👍
2. 👎
3. 👁
1. X^2+5aX+6a^2

splitting the middle term as

X^2+3ax+2aX+6ax^2
------ ---------

take common factor from 2 terms,sequentially as
X(X+3a)+2a(X+3a)

(X+2a) (X+3a) answer is x=-2a ;X=-3a

Question 2: a^2+a-20=0
a^2+5a-4a-20=0

a(a+5)-4(a+5)

(a+5) (a-4)=0

or a=-5 ; +4

both are factorised using splitting the middle term method

1. 👍
2. 👎

Similar Questions

1. Algebra 1 polynomials

Write the polynomial in descending order by the exponents of the x terms 8x^2+4-5ax^3+6a^2x

2. Math

Davide wants to find the zeros of the polynomial p(x)=x3−2x2−9x+18. His work is shown below. Step 1: p(x)=(x+3)(x−3)(x−2) Step 2: x+3=0 x−3=0 x−2=0 Step 3: x=2, x=3, x=−3 Explain why Davide’s work shows that 2, 3,

3. algebra

how to you solve polynomial equation by factoring x^3 + 3x^2 - 9x = 27

4. Discrete Math

Solve the recurrence relation a_n = -6a_n - 1 + 7a_n-2, n ≥ 2, given a₀ = 32, a₁ = -17. This is what I have figured out so far: polynomial: x² + 6x - 7 distinct roots: 1 and -7 I do not understand how to find C₁ and C₂.

1. Algebra

Solve the polynomial equation by factoring 2x^3 - 5x^2 - 3x = 0 Baby steps please...I believe answer is X= 0, 3, -1/2 But I don't know why Thank you!

2. algebra

can someone help me understand how to solve this... i have no idea what to do! why are the letters in the problem? factoring strategy 9x^2 + 4y^2

3. Algebra

Solve the equation. Use factoring or the quadratic formula, whichever is appropriate. Try factoring first. If you have any difficulty factoring, then go right to the quadratic formula. (Enter your answers as a comma-separated

4. M,ath

How do we find the greatest common factor of a polynomial? Demonstrate the process with an example, showing your work. When finding the greatest common factor of a polynomial, can it ever be larger than the smallest coefficient?

1. Algebra 2

Two days ago "Steve" helped me with this problem. I am grateful to him. I didn't get it and asked for him to help me again. He showed it to me again, but I needed more steps shown. Then I think he was finished for tutoring for the

2. gr 9 math

Can someone please post up some questions for dividing polynomial by factoring? I need to practice fo an upcoming test...

3. math,correction

can someone check these for me please.... problem#4 Directions: Factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms. 3a^3+3ab^2+2a^2b+2b^3 My answer:

4. Algebra 2

I am trying to factor a 4th degree polynomial that does not have any rational roots. I need to somehow get it factored into two quadratics. Anyone know of a method to use. 3x^4 - 8x^3 - 5x^2 + 16x - 5 Two of the irrational roots