Advertisements
Advertisements
प्रश्न
Which of the following expression are polynomial? Justify your answer:
`((x - 2)(x - 4))/x`
Advertisements
उत्तर
`((x - 2)(x - 4))/x = (x^2 - 4x - 2x + 8)/x`
= `(x^2 - 6x + 8)/x`
= `x - 6 + 8/x`
= x – 6 + 8x–1
Here, the power of x = –1, which is not a whole number, but a negative number.
Hence, `((x - 2)(x - 4))/x` is not a polynomial.
APPEARS IN
संबंधित प्रश्न
Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:
3x2 - 4x +15
Which of the following expressions are polynomials in one variable and which are not? State reasons for your answer:
`x^12+y^3+t^50`
Write the coefficient of x2 in the following:-
`pi/2x^2+x`
Which of the following expression are polynomial? Justify your answer:
`sqrt(3)x^2 - 2x`
Classify the following polynomial as polynomials in one variable, two variables etc.
xy + yz + zx
Write the coefficient of x2 in the following:
(x – 1)(3x – 4)
Write the coefficient of x2 in the following:
(2x – 5)(2x2 – 3x + 1)
Give an example of a polynomial, which is binomial of degree 20.
If p(x) = x2 – 4x + 3, then evaluate : `p(2) - p(–1) + p(1/2)`
Following expression is polynomial in one variable or not? State reason for your answer.
`y+2/y`
