Answer:
? = (x + 7)
Step-by-step explanation:
2x^2 + 15x + 7 = (2x + 1) (?)
1. First you need to figure out what multiplied by 2x will give you 2x^2, which is x.
2. Then you need to find what would give you 15x. In this case because you have the 1 in (2x + 1), you already know that there is going to be an extra x. So, what times 2x gives you 14x? It's 7.
3. Lastly you need to make sure that 1 multiplied with 7 is equal to 7 and combine like terms.
4. Check: (2x + 1) (x + 7) =
2x^2 + 14x + 1x + 7 =
2x^2 + 15x + 7
Answer:
6x+20
c.
Step-by-step explanation:
If f(x)=6x+2 and you are asked to find f(x+3), then you just replace all the x's in f(x)=6x+2 with (x+3).
Doing this gives you:
f(x)=6x+2 with new input (x+3) in place of out input (x)
f(x+3)=6(x+3)+2
f(x+3)=6x+18+2
f(x+3)=6x+20