Question

If A= 3x² + 5x - 6 and B = -2x2 - 6x +7, write the resulting polynomial of A, B in standard polynomial form.​

A. 5x² + 11x - 13
B. x² - x + 1
C. -5x² + x - 1
D. -5x² - 11x + 13

Answer 1

The resulting polynomial from subtracting polynomial B from polynomial A is 5x² + 11x - 13, which is option A in standard polynomial form.

Step-by-step explanation:

To find the resulting polynomial of A - B, you subtract polynomial B from polynomial A:

A = 3x² + 5x - 6

B = -2x² - 6x + 7

First, reverse the sign of each term in polynomial B to get - (-2x² - 6x + 7), which simplifies to +2x² + 6x - 7.

Now, add the corresponding terms from polynomial A and the modified polynomial B:

3x² + 5x - 6

+2x² + 6x - 7

This results in:

(3x² + 2x²) + (5x + 6x) + (-6 - 7)

Combine like terms:

5x² + 11x - 13

The standard polynomial form of the result is 5x² + 11x - 13, which corresponds to option A.