The options are given in factored form.
If a function is zero at x=3, this means x=3 is a root of the equation. x = 3 can also be written as x - 3 = 0
So, if x = 3 is a root of the equation, x - 3 will be a factor of the function. From the given options we can see only Option C contains x - 3 as its factor. Substitute x = 3 in option C and the function value will be zero.
So, the correct answer is option C
<span>Simplifying
5x + 3 = 10x + -17
Reorder the terms:
3 + 5x = 10x + -17
Reorder the terms:
3 + 5x = -17 + 10x
Solving
3 + 5x = -17 + 10x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10x' to each side of the equation.
3 + 5x + -10x = -17 + 10x + -10x
Combine like terms: 5x + -10x = -5x
3 + -5x = -17 + 10x + -10x
Combine like terms: 10x + -10x = 0
3 + -5x = -17 + 0
3 + -5x = -17
Add '-3' to each side of the equation.
3 + -3 + -5x = -17 + -3
Combine like terms: 3 + -3 = 0
0 + -5x = -17 + -3
-5x = -17 + -3
Combine like terms: -17 + -3 = -20
-5x = -20
Divide each side by '-5'.
x = 4
Simplifying
x = 4</span>
Answer:
yes
Step-by-step explanation:
because i need points.......................................................
