Four is a zero of the equation x3+3x2−18x−40=0. which factored form is equivalent to the equation? (x+4)(x+2)(x+5)=0 (x−4)(x+4)(x+5)=0 (x+2)(x−4‾√)(x+4‾√)=0 (x−4)(x+2)(x+5)=0

The zero of an equation is the point, where the equation cross the x-axis

The factored form is:

The function is given as:

Because 4 is a zero of the function, then we can divide both sides by x - 4

Expand the numerator

Factorize

Cancel out common factor

Factorize

Multiply both sides by (x - 4)

Equate to 0

Hence, the factored form is:

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Since we have been given that 4 is a zero of our equation, So we will divide our equation by (x-4) to find other factors of our equation.

Upon dividing our equation by (x-4) we will get .

Now we will factor this equation by splitting the middle term to get our other factors.

We can see that our factors are (x+2)(x+5)(x-4)=0, therefore, last option is the correct choice.

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step-by-step explanation: