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:

Read more about zeros of equations at:

link

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.

one that is bigger than 3 1/2

if gloria has "carry over" minutes, (that is, any minutes paid for but not used in a month can be applied to her payment for minutes in the next month,) her total usage for the three months is: total minutes = 320 + 243 + 489 = 1052 minutes number of 200 minute blocks = 1052/200 = 5 r52 (that is 5 with a remainder of 52) rounding up the number of 200 minute blocks gives her usage for the three months as 6 blocks. the cost for six blocks is 6 x $25 = $150 she also has 200 - 52 or 148 carry over minutes if gloria pays each month and unused minutes are lost, applying the rounding up procedure to each month gives: first month usage of 320 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 second month usage of 243 minutes rounds up to 2 blocks of 200 minutes for a payment of 2 x $25 = $50 third month usage of 489 minutes rounds up to 3 blocks of 200 minutes for a payment of 3 x $25 = $75 total payments for the three months are $50 + $50 + $75 = $175 get the plan with carry over minutes!