Question

If you are solving problemson multiplication of polynomials,how will you strategize the checkingof your solution. Give example​

Answer 1

One strategy for checking the solution to multiplication of polynomials is to expand the product using the distributive property and then simplify the expression. Comparing the simplified expression to the original problem can help verify the accuracy of the solution.

Step-by-step explanation:

When solving problems on the multiplication of polynomials, it is important to check your solution for accuracy. One strategy for checking your solution is to use the distributive property to expand the product of the two polynomials and then simplify the expression. You can then compare the simplified expression to the original problem to ensure that they are equal.

For example, let's say we are asked to multiply the polynomials (x + 2)(x - 3).

1. Using the distributive property, we can expand the product as follows: (x + 2)(x - 3) = x(x) + x(-3) + 2(x) + 2(-3) = x^2 - 3x + 2x - 6.
2. Simplifying the expression, we get: x^2 - x - 6.
3. Now, we can compare the simplified expression (x^2 - x - 6) to the original problem (x + 2)(x - 3) to verify if they are equal. If they are equal, our solution is correct.