(5x2 + 2x + 11) − (7 + 4x − 2x2)
The difference between the polynomials 5x² + 2x + 11 and 7 + 4x - 2x² is 7x² - 2x + 4 option (D) 7x² - 2x + 4 is correct.
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
\(\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n\)
The complete question is:
FIND THE DIFFERENCE:
(5x² + 2x + 11) - (7 + 4x - 2x²)
We have two polynomials:
5x² + 2x + 11 and 7 + 4x - 2x²
We have subtract the polynomial 7 + 4x - 2x² from the polynomial 5x² + 2x + 11
= (5x² + 2x + 11) - (7 + 4x - 2x²)
Using distributive property:
= 5x² + 2x + 11 - 7 - 4x + 2x²
= 7x² - 2x + 4
The difference is 7x² - 2x + 4
Thus, the difference between the polynomials 5x² + 2x + 11 and 7 + 4x - 2x² is 7x² - 2x + 4 option (D) 7x² - 2x + 4 is correct.
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