Question

Factor −7x2 + 35x.
A: −7x(x + 5)
B: 7x(−x + 5)
C: 7(−x2 + 35x)
D: x(7x + 35)

Answer 1

Option B; 7x(-x + 5)

Explanation:

1. 7x(-x + 5) (For this problem, I just tested each option to see which one fits the question)
2. A: -7x(x + 5)
3. 
   `-7x^(2)` - 35x
4. (Not the correct answer since it has -35x not 35x)
5. B: 7x(-x + 5)
6. 
   `-7x^(2)` + 35x
7. (This is the correct answer since all parts of this factoring corresponds to the question)

Answer: B; 7x(-x + 5)

Hope this helped! :D

Answer 2

B

Explanation:

−7x^2 + 35x

Factor out 7.

7(−x^2 + 5x)

Consider −x^2 + 5x.

Factor out x.

x(−x+5)

Rewrite the complete factored expression.

7x(−x+5)