Factor completely and then place the factors in the proper location on the grid. x^2 - 5x - 14

The factors are  and  

Step-by-step explanation:

we have

To find the factors equate the equation to zero

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side

Rewrite as perfect squares

therefore

using a graphing tool see the attached figure

The factors of the quadratic equation are the x-intercepts (values of x when the value of the function is equal to zero)

72 is the answer to this problem

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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