Home
Class 14
MATHS
Which of the following quadratic express...

Which of the following quadratic expression can be expressed as a product of real linear factors?
(a) `x^(2)-2x+3`
(b) `3x^(2)-sqrt2x-sqrt3`
(c) `2x^(2)+3x-4`
(d) `sqrt2x^(2)-sqrt5x+3`

Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    ARIHANT SSC|Exercise INTRODUCTORY EXERCISE - 14.1|40 Videos
  • THEORY OF EQUATIONS

    ARIHANT SSC|Exercise EXERCISE(LEVEL 1)|57 Videos
  • SQUARE ROOT AND CUBE ROOT

    ARIHANT SSC|Exercise EXERCISE (C ) HIGHER SKILL LEVEL QUESTIONS|14 Videos
  • TIME AND WORK

    ARIHANT SSC|Exercise Final Round|15 Videos

Similar Questions

Explore conceptually related problems

(4) sqrt(3)x^(2)+2x-sqrt(3)=0

Which of the following algebric expressions are polynomials? sqrt2x^2-sqrt3x+sqrt5

Which of the following expressions are polynomials ? In case of a polynomial write its degree. (i) x^(3)-5x+2 (ii) y^(2)+sqrt(2)y-sqrt(5) (iii) 2sqrt(x)+7 (iv) -6 (v) 4t^(2)+(1)/(6)t+2sqrt(3) (vi) z^(2)+(5)/(z^(2))+1 (vii) (1)/(3x) (viii) 1-sqrt(5x) (ix) (1)/(4x^(-2))+3x+5 (x) (6sqrt(x)+x^(3//2))/(sqrt(x))

Which of the following algebraic expressions are polynomials? I. x^(3) + sqrt(3x) + 4 , II. x^(2) + 2sqrt(x) + 4 III. x^(2) + sqrt(x-1) , IV. x^(2) + 3x + 4

Which of the following equations has the sum of its roots as 3?( a) x^(2)+3x-5=0 (b) -x^(2)+3x+3=0(c)sqrt(2)x^(2)-(3)/(sqrt(2))x-1=0(d)3x^(2)-3x-3=0

sqrt(3x^(2)-7x-30)-sqrt(2x^(2)-7x-5)=x-5

Which of the following expressions are polynomials ? In case of a polynomial , write its degree. (i) x^(5)-2x^(3)+x+sqrt(3) (ii) y^(3)+sqrt(3)y (iii) t^(2)-(2)/(5)t+sqrt(5) (iv) x^(100)-1 (v) (1)/(sqrt(2))x^(2)-sqrt(2)x+2 (vi) x^(-2)+2x^(-1)+3 (vii) 1 (viii) (-3)/(5) (ix) (x^(2))/(2)-(2)/(x^(2)) (x) root(3)(2)x^(2)-8 (xi) (1)/(2x^(2)) (xii) (1)/(sqrt(5))x^(1//2)+1 (xiii) (3)/(5)x^(2)-(7)/(3)x+9 (xiv) x^(4)-x^(3//2)+x-3 (xv) 2x^(3)+3x^(2)+sqrt(x)-1

Which of the following expressions are polynomials and which are not? 7x^(3)-3x^(2)+5sqrt(x)-11

Solve by factorization: sqrt(3)x^(2)-2sqrt(2)x-2sqrt(3)=0

ARIHANT SSC-THEORY OF EQUATIONS-EXERCISE(LEVEL 2)
  1. Which of the following quadratic expression can be expressed as a prod...

    Text Solution

    |

  2. The set of real values of x satisfying the equation |x-1|^(log3(x^2)-...

    Text Solution

    |

  3. If the roots of 10x^3-cx^2-54x -27 0 are in harmonic progression, then...

    Text Solution

    |

  4. Find the number of pairs for (x, y) from the followoing equations : ...

    Text Solution

    |

  5. Find all real numbers x which satisty the equation. 2log2log2x+log(1/2...

    Text Solution

    |

  6. Solve |x^2+4x+3|+2x+5=0.

    Text Solution

    |

  7. The real numbers x1, x2, x3 satisfying the equation x^3-x^2+b x+gamma=...

    Text Solution

    |

  8. For all x in (0, 1)

    Text Solution

    |

  9. What is the average of the first six prime numbers ?

    Text Solution

    |

  10. Let a, b, c be real, if ax^(2)+bx+c=0 has two real roots alpha, beta, ...

    Text Solution

    |

  11. If p, q are the roots of equation x^2 + px + q = 0, then value of p mu...

    Text Solution

    |

  12. If p ,q ,r are positive and are in A.P., the roots of quadratic equati...

    Text Solution

    |

  13. The sum of all the real roots of the equation |x-2|^2+|x-2|-2=0 is

    Text Solution

    |

  14. Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...

    Text Solution

    |

  15. If the roots of the equation x^2-2a x+a^2-a-3=0 are ra and less than 3...

    Text Solution

    |

  16. If alpha and beta (alpha lt beta) are the roots of the equation x^(2) ...

    Text Solution

    |

  17. If b gt a, then the equation (x-a)(x-b)-1=0, has

    Text Solution

    |

  18. Let alphaa n dbeta be the roots of x^2-x+p=0a n dgammaa n ddelta be th...

    Text Solution

    |

  19. If α,β are the roots of x^(2)-x+2=0 then α^3 β+αβ^3

    Text Solution

    |

  20. Given that alpha, gamma are roots of the equation Ax^(2)-4x+1=0 and be...

    Text Solution

    |

  21. Let alpha,beta be the roots of the equation (x-a)(x-b)=c ,c!=0 Th...

    Text Solution

    |