The correct statements are:
A(x) = l(x) + w(x)
A(x) = l(x) * w(x)
Explanation:
To find the area of the label, we need to add the length and the width. Therefore, the statement A(x) = l(x) + w(x) is true.
Multiplying the length and the width will give us the area of a rectangle. Therefore, the statement A(x) = l(x) * w(x) is also true.
The resulting polynomial for A(x) will have the degree equal to the sum of the degrees of l(x) and w(x), which is 3 + 1 = 4. Therefore, the statement "The resulting polynomial for A(x) will be a 4th degree polynomial" is true.
The resulting polynomial for A(x) will have a leading coefficient equal to the product of the leading coefficients of l(x) and w(x), which is 3 * 1 = 3. Therefore, the statement "The resulting polynomial for A(x) will have a leading coefficient of 6" is false.
Samuel needs to mail a package to his friend in New York. He places an address label with length represented by the function. l(x) = 3x^3 + 2x^2 - 4x + 5 and width represented by the function w(x) = x + 2. Which of the following statements are true about the area of the label? Select all that apply.
A(x) = l(x) + w(x)
The resulting polynomial for A(x) will be a 4th degree polynomial.
l(x) = A(x)/w(x)
The resulting polynomial for A(x) will have a leading coefficient of 6.
A(x) = l(x) * w(x)
1 answer
1 answer