Final Cover - For Printing

A thorough explanation of the idea followed by the demonstration of the process by
the teacher may enable the child to understand the idea.

14. Subtraction of polynomials
    Subtraction among two polynomials can be carried out by subtracting the corresponding
    terms of one polynomial from the other.

Eg. :Let P(x) = 2x^2 + 5x + 10

Q(x) = x^2 + 3x + 7

Then P(x) – Q(x) = (2x^2 + 5x + 10) – (x^2 + 3x + 7)

= (2x^2 – x^2 ) + (5x – 3x) +(10 – 7)

= x^2 + 2x + 3

The process followed in addition can be followed for subtraction also.

15. Multiplication of polynomials
    The product of two polynomials can be found by applying the distributive law and
    also the law of indices.

Eg. : Find the product of 5x^2 – 3x +5 and 2x -4

Therefore, (5x^2 – 3x +5)(2x – 4) = 10x^3 – 6x^2 + 10x – 20x^2 + 12x - 20

= 10x^3 – 26x^2 + 22x - 20

A tactile diagram depicting the numbers may be helpful for the child to understand

the sequence of the multiplication.

Another Method : Detached coefficient method

(5 – 3 + 5) (2 – 4)x^2 xx^3

2

1

4 5 6