Question

Can you help me with my math homework

Answer 1

5) 5

6)
`2(x+3)(x+4)`

Zeros:
`x_1=-3\\x_2=-4`

7)
`x^(2)+11x-180=0\\(x+20)(x-9)=0`

Explanation:

5) You can factor the quadratic equation
`-t^(2)-t+30` to solve it:

`-(x-5)(x+6)=0`

Then you obtain:

`x_1=5\\x_2=-6`

Choose the positive result.

6) You can factor out 2:

`2(x^(2)+7x+12)=0`

Factor the expression. Find the numbers that sum 7 and the their product is 12. These would be 3 and 4:

`2(x+3)(x+4)`

The zeros are:

`x_1=-3\\x_2=-4`

7) If you factor the quadratic equation
`x^(2)+11x-180=0` you obtain:

`(x+20)(x-9)=0`

And the zeros are:

`x_1=-20\\x_2=9`

Therefore, the answers are the options 3 and 4:

`x^(2)+11x-180=0` and
`(x+20)(x-9)=0`