मराठी
महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता ९ वी

Divide the first polynomial by the second polynomial and find the remainder using remainder theorem. (x2 − 7x + 9) ; (x + 1)

Advertisements
Advertisements

प्रश्न

Divide the first polynomial by the second polynomial and find the remainder using remainder theorem.

(x2 − 7x + 9) ; (x + 1)

बेरीज
Advertisements

उत्तर

Let p(x) = x2 − 7x + 9

Divisor = x + 1 

∴ take x = −1

By remainder theorem, 

Remainder = p(−1)

= (−1)2 − 7 × (−1) + 9 =

1 + 7 + 9

= 17

∴ Remainder = 17

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Polynomials - Practice Set 3.5 [पृष्ठ ५३]

APPEARS IN

बालभारती Mathematics 1 [English] Standard 9 Maharashtra State Board
पाठ 3 Polynomials
Practice Set 3.5 | Q (5) (i) | पृष्ठ ५३

संबंधित प्रश्‍न

Find the remainder when x3 + 3x2 + 3x + 1 is divided by x.


Find the remainder when x4 – 3x2 + 2x + 1 is divided by x – 1.


Find ‘a‘ if the two polynomials ax3 + 3x2 – 9 and 2x3 + 4x + a, leave the same remainder when divided by x + 3. 


Using the Remainder Theorem, factorise the following completely:

2x3 + x2 – 13x + 6 


Using the Remainder Theorem, factorise the following completely:

3x3 + 2x2 – 23x – 30


When x3 + 3x2 – mx + 4 is divided by x – 2, the remainder is m + 3. Find the value of m.


When the polynomial x3 + 2x2 – 5ax – 7 is divided by (x – 1), the remainder is A and when the polynomial x3 + ax2 – 12x + 16 is divided by (x + 2), the remainder is B. Find the value of ‘a’ if 2A + B = 0.


If ( x31 + 31) is divided by (x + 1) then find the remainder. 


What number should be subtracted from x2 + x + 1 so that the resulting polynomial is exactly divisible by (x-2) ? 


Find the remainder when the polynomial f(x) = 2x4 - 6x3 + 2x2 - x + 2 is divided by x + 2.


When x3 – 3x2 + 5x – 7 is divided by x – 2,then the remainder is


Find the remainder when 2x3 – 3x2 + 4x + 7 is divided by x + 3


By remainder theorem, find the remainder when, p(x) is divided by g(x) where, p(x) = 4x3 – 12x2 + 14x – 3; g(x) = 2x – 1


Find the remainder when 3x3 – 4x2 + 7x – 5 is divided by (x + 3)


By Remainder Theorem find the remainder, when p(x) is divided by g(x), where p(x) = x3 – 6x2 + 2x – 4, g(x) = `1 - 3/2 x`


Check whether p(x) is a multiple of g(x) or not:

p(x) = 2x3 – 11x2 – 4x + 5, g(x) = 2x + 1


For what value of m is x3 – 2mx2 + 16 divisible by x + 2?


What must be subtracted from the polynomial x3 + x2 – 2x + 1, so that the result is exactly divisible by (x – 3)?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×