Advertisements
Advertisements
Question
If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to ______.
Options
0
1
`4sqrt(2)`
`8sqrt(2) + 1`
Advertisements
Solution
If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to 1.
Explanation:
Given, `p(x) = x^2 - 2sqrt(2)x + 1` ...(i)
On putting `x = 2sqrt(2)` in equation (i), we get
`p(2sqrt(2)) = (2sqrt(2))^2 - (2sqrt(2))(2sqrt(2)) + 1`
= 8 – 8 + 1
= 1
APPEARS IN
RELATED QUESTIONS
Find the zero of the polynomial in the following case:
p(x) = 3x – 2
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f ( x ) = 5x - pi , x = 4/5`
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f (x) = 2x +1, x = 1/2`
Verify whether the following are zeros of the polynomial, indicated against them, or not
p(x) = ax + b, x = `(-"b")/"a"`
Find the number of zeros of the following polynomial represented by their graph
Find the number of zeros of the following polynomial represented by their graph
Zero of the zero polynomial is ______.
Zero of a polynomial is always 0
`-1/3` is a zero of 3x + 1
Find the zeroes of the polynomial in the following:
q(x) = 2x – 7
