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

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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

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6. Subtraction of polynomial

Theory: