## keky123321 3 years ago Select one of the factors of 2x^2 + 16x – 18 x + 9 x + 1 x – 2 x – 8

1. sauravshakya

U know Factor Theorem?

2. keky123321

No I don't.

3. sauravshakya

If a polynomial f(x) is divided by (x-a) then (x-a) is a factor of f(x) if f(a)=0

4. sauravshakya

Does it help?

5. mayankdevnani

so as per factor therom you get x+1.

6. mayankdevnani

right @sauravshakya

7. sauravshakya

Nope... not x+1

8. sauravshakya

It is x+9

9. keky123321

I don't see how the factor theorem can help with this question (x^2 + 7x – 44) though?

10. sauravshakya

Did u get for 2x^2 + 16x – 18

11. keky123321

I got it but i'm not sure exactly how you worked it out i tried and got stuck

12. sauravshakya

f(x)=2x^2+16x-18 Now, U need to try for every options for which u will get f(a)=0 when it is divided by (x-a)

13. sauravshakya

In this case, When f(x) is divided by (x+9), f(-9)=2*(-9)^2+16*(-9)-18=0

14. sauravshakya

So, one of the factor of f(x) is (x+9)

15. keky123321

OK that makes sense.

16. sauravshakya

Now, can u do these type of problems?

17. keky123321

I think so thank you.

18. sauravshakya

welcome