Advertisements
Advertisements
Question
Which of the following expression are polynomial? Justify your answer:
`((x - 2)(x - 4))/x`
Advertisements
Solution
`((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
RELATED QUESTIONS
Write the coefficient of x2 in the following:-
2 - x2 + x3
Which of the following expression are polynomial? Justify your answer:
`1/(2x)`
Classify the following polynomial as polynomials in one variable, two variables etc.
xy + yz + zx
Write the coefficient of x2 in the following:
`pi/6 x + x^2 - 1`
Give an example of a polynomial, which is monomial of degree 1.
Following expression is polynomial in one variable or not? State reason for your answer.
`y^2+sqrt2`
Classify the following as linear, quadratic and cubic polynomial:
y + y2 + 4
Classify the following as linear, quadratic and cubic polynomial:
3t
Classify the following as linear, quadratic and cubic polynomial:
r2
An algebraic expression is a polynomial in one variable when it contains:
