Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. release your mouse button when the item is place. if you change your mind, drag the item to the trashcan. click the trashcan to clear all your answers.
factor completely and then place the factors in the proper location on the grid.

x 2 - 5x - 14

The factors are ⇒ (x - 7)(x + 2)

Step-by-step explanation:

* Lets revise the factorization

- If x² + ax + b, the we search for 2 numbers have

 product = b and sum = a

∴ (x + m)(x + n), where mn = c and m + n = a

# x² + 5x + 6 = (x + 3)(x + 2) ⇒ (1)

- If x² - ax + b, the we search for 2 numbers have

 product = b and sum = a

∴ (x - m)(x - n), where mn = c and m + n = a

# x² - 5x + 6 = (x - 3)(x - 2) ⇒ (2)

- If x² + ax - b, the we search for 2 numbers have

 product = b and difference = a

∴ (x + m)(x - n), where mn = c and m - n = a, m > n

# x² + 5x - 6 = (x + 6)(x - 1) ⇒ (3)

- If x² - ax - b, the we search for 2 numbers have

 product = b and difference = a

∴ (x - m)(x + n), where mn = c and m - n = a, m > n

# x² - 5x - 6 = (x - 6)(x + 1) ⇒ (4)

* Now solve the problem

# x² - 5x - 14 ⇒ search for 2 numbers their product is 14

  and their difference is 5

- The numbers are 7 and 2

∴ x² - 5x - 14 = (x - 7)(x + 2) ⇒ case (4)

false

step-by-step explanation:

whenever we assume a point on a plane then according to geometry it will definitely have 2 dimensions and if it assumed in space then it will have 3 dimensions.

the circle graph is not a function.

step-by-step explanation:

the graph of the circle is not a function.

because for a graph to be a function, each value of x must give one value of y

in the circle, the values of x for -2< x< 2 each give 2 values of y.

hence this is not a function.