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 - 4/x`
Write the degree of the following polynomial:-
4 - y2
Write the degree of the following polynomial:-
3
Which of the following expression are polynomial? Justify your answer:
`1 - sqrt(5)x`
Which of the following expression are polynomial? Justify your answer:
`1/7 a^3 - 2/sqrt(3) a^2 + 4a - 7`
Which of the following expression are polynomials? Justify your answer:
`1/(x + 1)`
Every polynomial is a binomial.
A binomial may have degree 5
Classify the following polynomial as polynomials in one variable, two variables etc.
x2 – 2xy + y2 + 1
