Question

You design the wooden picture frame and paint the front surface.

(picture provided)
a. Write a polynomial in standard form that represents the area of wood you paint.
b. You design the picture frame to display a 5-inch by 8-inch photograph. How much wood do you paint?

Answer 1

Variables (or indeterminate), terms, exponents, and constants make up a polynomial expression. 3x2 -2x-10, for example, is a polynomial.

If a polynomial is represented in such a way that the term with the highest degree is placed first, followed by the term with the next highest degree, and so on, it is said to be in its standard form. 14x4 - 5x3 - 11x2 - 11x + 8 is an example.

The answers for your question:

a) 8x + 28

b) 68 in^2

Explanation:

Thanks for the points :3

Answer 2

• a) 8x + 28
• b) 68 in²

Explanation:

a)

Area of the frame with picture:

• A = lw
• A₁ = (x + 4)(x + 7) = x² + 11x + 28

Area of the picture:

• A₂ = x(x + 3) = x² + 3x

Area of the wooden frame is the difference of the above values:

• A₃ = A₁ - A₂
• A₃ = x² + 11x + 28 - x² - 3x
• = 8x + 28

b)

When x = 5, the picture frame area is:

• A₃ = 8*5 + 28 = 40 + 28 = 68 in²