one more question =] for math?

Question

werre doin g factoring still the instruction says : factor each polynomial below as the product of its greatest monomial factor and another polynomial. some questions are

1) 3x ^2+18x+9
2)2x^2+10x+12
3)7x^2+14+35

thanks for all your help tonight guys i def appreciate it

Answer 1

What they want you to do is take out the largest common factor in each polynomial. For example, the first one...

3x^2 + 18x + 9

You can take out a 3 from that because each of the three parts of that polynomial is divisible by 3. So, put a 3 on the outside and just divide all the numbers on the inside by 3.

1. 3 (x^2 + 2x + 3)

See? It's so simple. And since your directions told you to stop there (and you can't factor anymore anyways), I'll leave it there.

Try the next two. Then check the answers, I'll put them below. I don't feel guilty doing this because you only put a couple up there. :)

2. 2x^2 + 10x + 12
Answer: 2 (x^2 + 5x + 6)
Note: That one does factor further to 2 (x + 2) (x + 3) , but don't worry about it if you haven't done that yet.

3. 7x^2 + 14x + 35
Answer: 7 (x^2 + 2x + 5)

Answer 2

The reason they are teaching you this is because they are showing you that you should try to simplify the equations before you go and try to fully factor them. So the answer for each would be:

1) 3 (x^2 + 6x + 3)
2) 2 (x^2 + 5x + 6)
3) 7 (x^2 + 2x + 5) [ I imagine you left the x on the second part of the polynomial) if not it would be
7 (x^2 + 2 + 5) = 7 (x^2 + 7)

Answer 3

Look for a number that divides into each term.

1) 3x ^2+18x+9
Each coefficient is divisible by three, so: 3(x^2 + 6x +3)

2)2x^2+10x+12
Each is divisible by two, so: 2(_____)

3)7x^2+14+35
Each is divisible by seven, so: 7(______)

A "monomial" is something that looks like 3x^2 (possibly just a single number like 9), that can be written without + or - anywhere.

Answer 4

3(x^2+6x+3)
2(x^2+5x+6)
7(x^2+2x+5)