What is the numerical part of the divisor in the quadratic formula?

What is the numerical part of the divisor in the quadratic formula?

• A. One
• B. Two
• C. Three
• D. Four

Answer: (B)

In the quadratic formula, which is used to find the solutions of a quadratic equation written in the standard form \( ax^2 + bx + c = 0 \), the expression is given by: \[ x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \] Focusing on the denominator, which is the divisor in the quadratic formula, it is represented by \( 2a \). The term "numerical part of the divisor" refers specifically to the coefficient of \( a \) within this expression. In this case, the numerical part is \( 2 \) because it multiplies \( a \). Therefore, when analyzing the options given, the choice indicating the numerical part of the divisor is indeed \( 2 \). This understanding is vital for correctly applying the formula in solving quadratic equations.

In the quadratic formula, which is used to find the solutions of a quadratic equation written in the standard form ( ax^2 + bx + c = 0 ), the expression is given by:

[

x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}

]

Focusing on the denominator, which is the divisor in the quadratic formula, it is represented by ( 2a ). The term "numerical part of the divisor" refers specifically to the coefficient of ( a ) within this expression.

In this case, the numerical part is ( 2 ) because it multiplies ( a ). Therefore, when analyzing the options given, the choice indicating the numerical part of the divisor is indeed ( 2 ). This understanding is vital for correctly applying the formula in solving quadratic equations.