Home
Class 10
MATHS
Check whether g(x) is a factor of P(x) b...

Check whether g(x) is a factor of P(x) by dividing polynomial p(x) by polynoial g(x).
where p(x) = `x^5 - 4x^3 + x^2 + 3x + 1`, g(x) = `x^3 - 3x + 1`.

Promotional Banner

Topper's Solved these Questions

  • 2020 QUESTION PAPER (1)

    AGRAWAL PUBLICATION|Exercise EXERCISE|33 Videos

Similar Questions

Explore conceptually related problems

Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial g(x), where p(x)=x^(5)-4x^(3)+x^(2)+3x+1,g(x)=x^(3)-3x+1 .

Check whether g(x) is a factor of p(x) by dividing polynomial p(x) by polynomial p(x)=x^(5)-4x^(3)+x^(2)+3x+1, g(x)=x^(3)-3x+1 .

Check whether g(x) is a factor of p(x) by dividing the first polynomial by the second polynomial: (i) p(x) = 4x^(3) + 8x + 8x^(2) +7, g(x) =2x^(2) -x+1 , (ii) p(x) =x^(4) - 5x -2, g(x) =2-x^(2) , (iii) p(x) = 13x^(3) -19x^(2) + 12x +14, g(x) =2-2x +x^(2)

Find remainder when p(x)=x^5 -4x^3 +x^2 +3x+1 is divide by g(x) = x^3 - 3x + 1 .

Check whether x=-1 is a zero of the polynomial p(x)=x^(3)-3x+1

Check whether the polynomial f(x)=x^(2)-3 is a factor of the polynomial g(x) where g(x)=2x^(4)+3x^(3)-2x^(2)-9x-12 .

check whether g(x) is a factor of f(x) or not f(x)= x^5+3x^4−x^3−3x^2+5x+15 , g(x)= x+3

Check whether the first polynomial is factor of Second polynomial by dividing: (x^(3)-3x+1),(x^(5)-4x^(3)+x^(2)+3x+1)

AGRAWAL PUBLICATION-(2019) QUESTION PAPER-EXAMPLE
  1. Check whether g(x) is a factor of P(x) by dividing polynomial p(x) by ...

    Text Solution

    |

  2. Find the area of the triangle formed by joining the mid-points of the ...

    Text Solution

    |

  3. Draw the graph of the equations x-y+ 1 = 0 and 3x + 2y - 12 = 0. Using...

    Text Solution

    |

  4. Prove that sqrt 3 is an irrational number.

    Text Solution

    |

  5. Find the greatest number which on dividing 1251, 9377 and 15628 leaves...

    Text Solution

    |

  6. A,B and C are interior angles of a triangle ABC. Show that sin[(B+C)/2...

    Text Solution

    |

  7. If angle A = 90^@, then find the value of tan [(B + C)/2]

    Text Solution

    |

  8. If tan(A +B) = 1 and tan(A - B) = 1/ sqrt 3, 0^@ < A + B < 90^@, A>B, ...

    Text Solution

    |

  9. In Figure, PQ is a chord of length 8 cm of a circle of radius 5 cm. Th...

    Text Solution

    |

  10. Prove that opposite sides of a quadrilateral circumscribing a circel s...

    Text Solution

    |

  11. Water in a canal, 6 m wide an 1.5 m deep, is flowing with a speed of 1...

    Text Solution

    |

  12. A class teacher has the following absentee record of 40 students of a ...

    Text Solution

    |

  13. A car has two wipers which do not overlap. Each wiper has a blade of l...

    Text Solution

    |

  14. A pole has to be erected at a point on the boundary of a circular park...

    Text Solution

    |

  15. If m times the m^(th) term of an Arithmetic Progession is equal to n t...

    Text Solution

    |

  16. The sum of the first three numbers is an Arithmetic Progression is 18....

    Text Solution

    |

  17. Construct a triangle ABC with side BC = 6 cm, AB = 5 cm and angle ABC ...

    Text Solution

    |

  18. In Figure, a decorative block is shown which is made of two solids, a ...

    Text Solution

    |

  19. In Figure, a decorative block is shown which is made of two solids, a ...

    Text Solution

    |

  20. A bucket open at the top is in the form of a frustum of a cone with a ...

    Text Solution

    |