Advertisements
Advertisements
प्रश्न
Find the zero of the polynomial in the following:
h(x) = ax + b, a ≠ 0, a, b ∈ R
Advertisements
उत्तर
h(x) = ax + b, a ≠ 0, a, b ∈ R
= `"a"(x + "b"/"a")`
`"h"(- "b"/"a") = "a"(-"b"/"a") + "b"`
Hence `-"b"/"a"` is the zero of h(x).
APPEARS IN
संबंधित प्रश्न
Find the value of the polynomial 5x – 4x2 + 3 at x = 0.
Find p(0), p(1) and p(2) for the following polynomial:-
p(t) = 2 + t + 2t2 – t3
Verify whether the following zeroes of the polynomial, indicated against them.
`p(x) = 3x + 1, x = -1/3`
Verify whether the following zeroes of the polynomial are indicated against them.
p(x) = 5x – π, `x = 4/5`
Find the zero of the polynomial in the following case:
p(x) = x + 5
Find the zero of the polynomial in the following case:
p(x) = x – 5
Find the zero of the polynomial in the following case:
p(x) = 3x
Find the zero of the polynomial in the following case:
p(x) = cx + d, c ≠ 0, c, d are real numbers.
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f ( x ) = 3x +1, x = - 1/3`
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f(x) = lx + m , x = - m/1`
Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:
`f (x) = 2x +1, x = 1/2`
Find the zero of the polynomial of the following:
p(x) = x – 3
Find the zero of the polynomial of the following:
p(x) = ax when a ≠ 0
Verify whether the following are zeros of the polynomial indicated against them, or not
p(x) = 2x − 1, x = `1/2`
Verify whether the following are zeros of the polynomial, indicated against them, or not
p(x) = x3 – 1, x = 1
Verify whether the following are zeros of the polynomial, indicated against them, or not
p(x) = (x + 3) (x – 4), x = −3, x = 4
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 ______.
One of the zeroes of the polynomial 2x2 + 7x – 4 is ______.
A polynomial cannot have more than one zero
Find p(0), p(1), p(–2) for the following polynomial:
p(x) = 10x – 4x2 – 3
`(-4)/5` is a zero of 4 – 5y
–3 is a zero of y2 + y – 6
Find the zeroes of the polynomial:
p(x) = (x – 2)2 – (x + 2)2
If a, b, c are all non-zero and a + b + c = 0, prove that `a^2/(bc) + b^2/(ca) + c^2/(ab) = 3`.
