Advertisements
Advertisements
प्रश्न
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = 3x2 – 1, x = `-1/sqrt3,2/sqrt3`
उत्तर
If `x = -1/sqrt3` and `x = 2/sqrt3` are zeroes of polynomial p(x) = 3x2 − 1, then `p(-1/sqrt3)` and `p(2/sqrt3)` should be 0.
Here, `p(-1/sqrt3)=3(-1/sqrt3)^2-1=3(1/3)-1=1-1=0,`
Also, `p(2/sqrt3)=3(2/sqrt3)^2-1=3(4/3)-1=4-1=3`
Hence, `x=-1/sqrt3` is a zero of the given polynomial.
However, `x=2/sqrt3` is not a zero of the given polynomial.
APPEARS IN
संबंधित प्रश्न
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = 2x + 1, `x = 1/2`
Find the zero of the polynomial in the following case:
p(x) = cx + d, c ≠ 0, c, d are real numbers.
Find the zero of the polynomial in the following:
h(x) = ax + b, a ≠ 0, a, b ∈ R
Find the number of zeros of the following polynomial represented by their graph
The zero of the polynomial 2x + 5 is
If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to ______.
Find p(0), p(1), p(–2) for the following polynomial:
p(y) = (y + 2)(y – 2)
`-1/3` is a zero of 3x + 1
0 and 2 are the zeroes of t2 – 2t
–3 is a zero of y2 + y – 6
