Eg. : Let, P (x) = x^2 – 5x + 6
When x = 1, the value is not zero, when x = 3, the value is not zero, but when x = 2,
the value is zero. Therefore P(2) = 0.
If x = 2, then P(2) = 2^2 – 5(2) + 6
= 4 – 10 + 6
= 10 – 10
= 0
Here, when x = 2, the value of the polynomial is equal to zero. Therefore, the zero of
the polynomial P(x) is 2.
The idea may be explained to the child orally supported by necessary text material in
Braille.
- Zero polynomial
If all the coefficients of a polynomial including the constant term are zero, then the
polynomial is said to be a zero polynomial.
Eg. : P(x) = 0x^2 +0x - 0
The idea may be explained orally supported by relevant text material in Braille. - Addition of polynomials
Sum of any two polynomials can be found by adding the corresponding like terms of
the two polynomials.
Eg. :Let, P(x) = 5x^2 – 4x +9
Q(x) = 4x^2 + 7x – 7
Then, P(x) + Q(x) = (5x^2 – 4x +9) + (4x^2 + 7x – 7)
= (5x^2 + 4x^2 ) + ( -4x + 7x) +(9 – 7)
= 9x^2 + 3x + 2