Advertisements
Advertisements
Question
Verify whether the following are zeros of the polynomial, indicated against them, or not
p(x) = ax + b, x = `(-"b")/"a"`
Advertisements
Solution
p(x) = ax + b, x = `(-"b")/"a"`
`"p"((-"b")/"a") = "a"((-"b")/"a") + "b"`
= −b + b
= 0
∴ `(-"b")/"a"` is the zero of the polynomial.
APPEARS IN
RELATED QUESTIONS
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
Find p(0), p(1) and p(2) for the following polynomial:-
p(x) = (x – 1) (x + 1)
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) = 2x + 5
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) = x^2and x = 0`
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 value of the polynomial 5x – 4x2 + 3 at x = –1.
Find the value of the polynomial 5x – 4x2 + 3 at x = 2.
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) = x3 – 1, x = 1
The zero of the polynomial 2x + 5 is
If `p(x) = x^2 - 2sqrt(2)x + 1`, then `p(2sqrt(2))` is equal to ______.
If p(x) = x + 3, then p(x) + p(–x) is equal to ______.
Zero of a polynomial is always 0
Find p(0), p(1), p(–2) for the following polynomial:
p(x) = 10x – 4x2 – 3
–3 is a zero of x – 3
`-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
Find the zeroes of the polynomial in the following:
p(x) = x – 4
Find the zeroes of the polynomial in the following:
g(x) = 3 – 6x
Find the zeroes of the polynomial in the following:
h(y) = 2y
Find the zeroes of the polynomial:
p(x) = (x – 2)2 – (x + 2)2
