The length of a rectangle is 14 inches, and its area is ( + ) square inches. Factor the expression for the area.

The question is incomplete, the complete question is here

The length of a rectangle is 14 inches and it’s area is (42x + 56) square inches. Factor the expression for the area. Write an expression for the width

The factorization of the expression of the area is 14(3x + 4)

The expression of the width is (3x + 4) inches

Step-by-step explanation:

To factor an expression find the greatest common factor of the terms of the expression, then divide each term by it to find the reminder of the terms in the bracket

∵ The area of the rectangle = (42x + 56)

- Lets find the factors of 42 and 56

∵ 42 = 1 × 42 , 2 × 21 , 3 × 14 , 6 × 7

∴ The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42

∵ 56 = 1 × 56 , 2 × 28 , 4 × 14 , 7 × 8

∴ The factors of 56 are 1, 2, 4, 7, 8, 14, 28, 56

∵ The common factor of 42 and 56 are 1, 2, 7, 14

∵ The greatest one is 14

∴ The greatest common factor of 42 and 56 is 14

Divide each term of the expression of the area by 14

∵ 42x ÷ 14 = 3x

∵ 56 ÷ 14 = 4

∴ (42x + 56) = 14(3x + 4)

∴ The factorization of the expression of the area is 14(3x + 4)

∵ The length of the rectangle is 14 inches

∵ Area of a rectangle = length × width

∴ The width of the rectangle is (3x + 4) inches

∴ The expression of the width is (3x + 4) inches

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.