Question

The polynomial, 5013–4v²+10v-1 is subtracted from the polynomial,

7v²+2v³-7v. The difference can be expressed as av³+b²+cv+d. Rudy said
that the value of a is 3. Is Rudy correct? Justify your answer.

Answer 1

To find the difference between the two polynomials, subtract each term of the first polynomial from the corresponding term of the second polynomial. The difference can be written as av³ + bv² + cv +d, where a = 2, b = 11, c = -17, and d = 14. Rudy's statement that a = 3 is incorrect.

Step-by-step explanation:

To find the difference between the two polynomials, we subtract each term of the first polynomial from the corresponding term of the second polynomial. Let's subtract the terms:

After subtracting the polynomials, we get:

Difference = (7v² + 2v³ - 7v) - (5013 - 4v² + 10v - 1)

Difference = 2v³ + 11v² - 17v + 14

The difference can be written as av³ + bv² + cv + d, where a = 2, b = 11, c = -17, and d = 14. Since Rudy said that a = 3, which is incorrect, his statement is not justified.