Question

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Answer 1

1. The monomial, x, a factor of  the expression x2 + 15x "represents the side length, in centimeters, of the photo." So Choice A.

2. The binomial, (x + 15), a factor  of the expression x2 + 15x is Choice D because x is the length of the photo plus the 15 cm left of the frame.

3. The first-degree term of  the expression x2 + 15x is the area of the photo since "x" is the length. So, Choice C.

4. The second-degree term of  the expression x2 + 15x is the area of the frame around the picture. That leaves us with Choice B.

Answer 2

Answer:

A-1

B-4

C-3

D-2.

Step-by-step explanation:

We are given that  Patricia has a square shaped photo of her soccer team that she plans to given her coach.She decided to put the photo in a rectangular frame that is 15 cm longer than the length of the picture .

Let x be the length of side of  of square shaped photo

Then length of side of rectangular shaped frame=$x+5$

We are given that the area of framed picture in quadratic expression where x represents the side length in cm of photo

$x^2+15x$

$x(x+15)$

The area of square=$side\times side$

The area of photo=$side \times side$

Therefore, the area of photo =$x\times x=x^2$

The area of frame =area of framed picture- area of photo=$x^2+15x=x^2=15x$

A. The length of the photo

1.The monomial x a factor of the expression

B.The area of the frame around the picture

4. The second- degree term of the expression$x^2+15x$

C.The are of the photo

3.The first -degree term of the expression$x^2+15x$

D.The length of the frame

2.The binomial (x+15),a factor of the expression$x^2+15 x$

Answer: A-1

B-4

C-3

D-2.