Final answer:
The factor that makes the equation 7x⁴ = __x⁷ true is 0, because any number multiplied by 0 is always 0, satisfying the equation.
correct option is B) 0
Step-by-step explanation:
The student asked which factor would make the equation 7x⁴ = __x⁷ true from the given options A) 1 B) 0 C) 4 D) 3. For the equations to be equal, we must find a factor when multiplied by 7x⁴, will give us x⁷. Since there is no x term on the right side to cancel out, and we are raising x to higher powers, the only factor that will satisfy this condition is 0.
This is because when x is multiplied by 0, the result is always 0, thus satisfying the equation 7x⁴ = 0x⁷.