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 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 are indicated against them.
p(x) = 5x – π, `x = 4/5`
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = x2, x = 0
Verify whether the following zeroes of the polynomial, indicated against them.
p(x) = 3x2 – 1, x = `-1/sqrt3,2/sqrt3`
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) = 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)=x^2- 1,x=1,-1`
Find the zero of the polynomial of the following:
p(x) = 2x + 5
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) = x3 – 1, x = 1
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
Zeros of (2 – 3x) 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 the zero polynomial is ______.
Zero of a polynomial is always 0
–3 is a zero of x – 3
`-1/3` is a zero of 3x + 1
–3 is a zero of y2 + y – 6
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
