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For the expression ax^(2)+ 7x + 2 to be ...

For the expression `ax^(2)+ 7x + 2` to be quadratic, the possible value of a are `"______"`.

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non-zero real numers
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For the expression 7x^(2) + bx +4 to be quadratic , the possible values of b are "______" .

Knowledge Check

  • The quadratic expression ax ^(2)+bx+c gt 0 AA x in R, then :

    A
    `13a-5b+2cgt 0`
    B
    `13a-b+2c gt 0`
    C
    `c gt 0, D lt 0`
    D
    `a+c gt b, D lt 0`

  • Statement-1: If x^(2) + ax + 4 gt 0 "for all" x in R , then a in (-4, 4) . Statement-2: The sign of quadratic expression ax^(2) + bx + c is always same as that of 'a' except for those values of x which lie between its roots.

    A
    Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1.
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1.
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False, Statement-2 is True.

  • If the minimum value of the quadratic expression y =ax ^(2)+bx +c is negative attained at negative vlaue of x, then :

    A
    `a gt 0`
    B
    `b gt 0`
    C
    `c gt 0`
    D
    `D gt 0`

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    Find the values of a, for which the quadratic expression ax^2 + (a - 2) x - 2 is negative for exactly two integral values of x .

    If x=(5)/(3) and x=-(1)/(2) are the zeroes of the polynomial ax^(2)-7x+b , then find the values of a and b.

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