Advertisements
Advertisements
Question
Find the zero of the polynomial in the following:
h(x) = ax + b, a ≠ 0, a, b ∈ R
Advertisements
Solution
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
RELATED QUESTIONS
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = x2 – 1, x = 1, –1
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = (x + 1) (x – 2), x = – 1, 2
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = 3x2 – 1, x = `-1/sqrt3,2/sqrt3`
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) = 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 – 2
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) = ax, a ≠ 0
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) = 2x +1, x = 1/2`
Find the zero of the polynomial of the following:
q(y) = 2y – 3
Find the zero of the polynomial of the following :
f(z) = 8z
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
Find the number of zeros of the following polynomial represented by their graph

Zeros of (2 – 3x) is ___________
If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to ______.
Zero of the zero polynomial is ______.
One of the zeroes of the polynomial 2x2 + 7x – 4 is ______.
–3 is a zero of x – 3
`-1/3` is a zero of 3x + 1
Find the zeroes of the polynomial in the following:
p(x) = x – 4
Find the zeroes of the polynomial in the following:
q(x) = 2x – 7
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`.
