मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता ९

Verify whether the following are zeros of the polynomial, indicated against them, or not p(x) = ax + b, x = -ba - Mathematics

Advertisements
Advertisements

प्रश्न

Verify whether the following are zeros of the polynomial, indicated against them, or not

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

बेरीज
Advertisements

उत्तर

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.

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Algebra - Exercise 3.2 [पृष्ठ ९१]

APPEARS IN

सामाचीर कलवी Mathematics [English] Class 9 TN Board
पाठ 3 Algebra
Exercise 3.2 | Q 5. (iii) | पृष्ठ ९१

संबंधित प्रश्‍न

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) = (x + 1) (x – 2), x = – 1, 2


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`


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) = 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 ) = 5x - pi , x = 4/5`


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) = 2x + 5


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


Find the zero of the polynomial of the following:

p(x) = ax when a ≠ 0


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


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 ______.


Zero of a polynomial is always 0


A polynomial cannot have more than one zero


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

p(y) = (y + 2)(y – 2)


–3 is a zero of x – 3


`(-4)/5` is a zero of 4 – 5y


Find the zeroes of the polynomial in the following:

p(x) = x – 4


Find the zeroes of the polynomial:

p(x) = (x – 2)2 – (x + 2)2 


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×