Which statement is true about the quadratic equation 8x2 − 5x + 3 = 0?


The constant term is 8.

The constant term is −5.

The leading coefficient is 8.

The leading coefficient is −5.

Verified Answer :

W0lf93

The leading coefficient is 8. A quadratic equation has the following form: ax^2 + bx + c. In such an equation a is called the leading coefficient, which in our case is equal to 8. So the third answer is the correct one.

Only the following statement is true: The leading coefficient is 8.

Quadratic function

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a\(eq\)0) and the degree of the function must be equal to 2.

The coefficients can be classified in:

  • Leading coefficient -  This is the coefficient attached to the variable with the highest exponent. In the standard form of  a quadratic function is represented by a.
  • Constant term  - It is a term without variable, in the other words, it is represented only by a constant ( a number).

For solving this question, you should analyze the coefficients of the given quadratic equation.

From comparison between ax²+bx+c=0 and 8x²-5x+3=0. It is possible to see that:

  • the leading coefficient =a=8
  • the constant term=c=3

Read more about coefficients of quadratic equations here:

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