Subtraction of polynomial — lesson. Mathematics State Board, Class 9.

UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

To subtract polynomials, first reverse the sign of each term we are subtracting (in other words turn "\(+\)" into "\(-\)", and "\(-\)" into "\(+\)"), then add as usual.

Example:

Subtract

p (x) = 5 + x - 2 x^{2}

and

q (x) = 3 x ² - 6 x - 4

= - 2 x ² + x + 5 - (3 x ² - 6 x - 4)

Now change the sign of \(q(x)\).

\(= -2x^2 + x +5-3x^2 +6x +4\)

= - 2 x ² - 3 x ² + x + 6 x + 5 + 4

= (- 2 - 3) x ² + (1 + 6) x + 5 + 4

= - 5 x ² + 7 x + 9

Previous theory

Exit to the topic

Next theory

Send feedback

Did you find an error?

Send it to us!

6. Subtraction of polynomial

Theory: