Home
Class 12
MATHS
If 5 and -1 are both zeros of the polymo...

If 5 and -1 are both zeros of the polymonial P(x), then a factor of P(x) is

A

`x^(2)-5`

B

`x^(2)-4x+5`

C

`x^(2)+4x-5`

D

`x^(2)-4x-5`

Text Solution

Verified by Experts

The correct Answer is:
D
Since 5 and -1 zeros, x-5 and x+1 are factors of `P(x)`, so their product `x^(2)-4x-5` is too.
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If -7 and 5 are both zeros of the polynomial q(x), then a factor of q(x) is

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

If alpha and beta are the zeros of the polynomial f(x)=x^2+p x+q , then a polynomial having 1/alpha and 1/beta as its zeros is ........................................................... (a) x^2+q x+p (b) x^2-p x+q (c) q x^2+p x+1 (d) p x^2+q x+1

Find a zero of the polynomial p(x)=2x+1 .

Verify that 3,\ -1 and -1/3 are the zeros of the cubic polynomial p(x)=3x^3-5x^2-11 x-3 and then verify the relationship between the zeros and its coefficients.

If alpha and beta are the zeros of the quadratic polynomial f(x)=x^2-p(x+1)-c , show that (alpha+1)(beta+1)=1-c .

If alpha and beta are the zeros of the quadratic polynomial p(x)=4x^2-5x-1 , find the value of alpha^2beta+alphabeta^2 .

If p and q are zeros of 3x^2+2x-9 . then value of p-q

Verify whether the following are zeroes of the polynomial, indicated against them. (i) p(x)=3x+1, x=-1/3 (ii) p(x)=5x-pi, x=4/5 (iii) p(x)=x^2-1, x=1,-1 (iv) p(x)=(x+1)(x+2), x=-1,2 (v) p(x)=x^2, x=0 (vi) p(x)=l x+m , x=-m/l (vii)

If alpha,beta,gamma are the zeros of the polynomial f(x)=x^3-p x^2+q x-r , then 1/(alphabeta)+1/(betagamma)+1/(gammaalpha)= (a) r/p (b) p/r (c) -p/r (d) -r/p

ENGLISH SAT-MODEL TEST 2-MCQs
  1. The maximum value of 6 sin x cos x is

    Text Solution

    |

  2. If f(r,theta)=rcostheta, then f(2,3)=

    Text Solution

    |

  3. If 5 and -1 are both zeros of the polymonial P(x), then a factor of P(...

    Text Solution

    |

  4. i^(14)+i^(15)+i^(16)+i^(17)=

    Text Solution

    |

  5. The graph of y=sin2x for x between 10^(@) and 350^(@) crosses the x-ax...

    Text Solution

    |

  6. The third term of ann arithmetic sequence is 15, and the seventh term ...

    Text Solution

    |

  7. A particular sphere has the property that its surface area has the sam...

    Text Solution

    |

  8. (1)/(a)+(1)/(b)=

    Text Solution

    |

  9. The pendulum on a clock swings through an angle of 1 radian, and the t...

    Text Solution

    |

  10. What is the domain of the function f(x)=4-sqrt(3x^(3)-7)?

    Text Solution

    |

  11. If x+y=90^(@), which of the following must be true?

    Text Solution

    |

  12. The graph of the equation y=x^(3)+5x+1

    Text Solution

    |

  13. The length of the radius of the sphere x^(2)+y^(2)+z^(2)+2x-4y=10 is

    Text Solution

    |

  14. The graph of y=x^(4)+11x^(3)+9x^(2)-97x+c is shown above with the wind...

    Text Solution

    |

  15. Which of the following is the solution set for x(x-3)(x+2)gt0?

    Text Solution

    |

  16. Which of the following is the equation of the circle that has its cent...

    Text Solution

    |

  17. If f(x)=3-2x+x^(2), then ((f(x+t)-f(x))/(t))=

    Text Solution

    |

  18. If f(x)=x^(3) and g(x)=x^(2)+1, which of the following is an odd funct...

    Text Solution

    |

  19. In how many ways can a committee of four be selected from nine so as t...

    Text Solution

    |

  20. The figure above shows a portion of the graph of y=2^(x). What is the ...

    Text Solution

    |