English
Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 9

Find the zero of the polynomial in the following: h(x) = ax + b, a ≠ 0, a, b ∈ R - Mathematics

Advertisements
Advertisements

Question

Find the zero of the polynomial in the following:

h(x) = ax + b, a ≠ 0, a, b ∈ R

Sum
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).

shaalaa.com
  Is there an error in this question or solution?
Chapter 3: Algebra - Exercise 3.2 [Page 91]

APPEARS IN

Samacheer Kalvi Mathematics [English] Class 9 TN Board
Chapter 3 Algebra
Exercise 3.2 | Q 3. (iv) | Page 91

RELATED QUESTIONS

Find p(0), p(1) and p(2) for the following polynomial:-

p(y) = y2 – y + 1


Find p(0), p(1) and p(2) for the following polynomial:-

p(x) = x3


Find p(0), p(1) and p(2) for the following polynomial:-

p(x) = (x – 1) (x + 1)


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`


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`


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) = ax, a ≠ 0


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`


Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:

`g(x)=3x^2-2,`  `x=2/sqrt3     2/sqrt3`


Verify whether the indicated numbers is zeroes of the polynomials corresponding to them in the following case:

`f(x) = lx + m , x = - m/1`


Find the zero of the polynomial of the following:

p(x) = x – 3


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) = ax + b, x = `(-"b")/"a"`


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


Find the number of zeros of the following polynomial represented by their graph


If p(x) = x + 3, then p(x) + p(–x) is equal to ______.


Zero of the polynomial p(x) = 2x + 5 is ______.


Find p(0), p(1), p(–2) for the following polynomial:

p(x) = 10x – 4x2 – 3


Find p(0), p(1), p(–2) for the following polynomial:

p(y) = (y + 2)(y – 2)


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:

q(x) = 2x – 7


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×