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Martha wrote an example of a quadratic function for a homework assignment. The function she wrote is shown.
f(x) = 5x3 + 2x2 + 7x – 3
What possible changes can Martha make to correct her homework assignment? Select two options.
The first term, 5x3, can be eliminated.
The exponent on the first term, 5x3, can be changed to a 2 and then combined with the second term, 2x2.
The exponent on the second term, 2x2, can be changed to a 3 and then combined with the first term, 5x3.
The constant, –3, can be changed to a variable.
The 7x can be eliminated.

Respuesta :

sqdancefan

Answer:

  • The first term, 5x^3, can be eliminated.
  • The exponent on the first term, 5x^3, can be changed to a 2 and then combined with the second term, 2x^2

Step-by-step explanation:

The highest degree allowed in a quadratic function is 2, so the third degree term (the first term) needs to be eliminated or changed. The change shown above is one of many possibilities.

To solve the problem we must know about the concept of Quadratic equations.

The correct options from the given options are,

  • The first term, 5x3, can be eliminated.
  • The exponent on the first term 5x³, can be changed to a 2 and then combined with the second term, 2x².

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers.

It is written in the form of ax²+bx+c.

Given to us

f(x) = 5x³ + 2x² + 7x – 3

As we have discussed the quadratic equation, therefore, the leading coefficient of the given equation should be of the second degree. therefore, we need to remove 5x³ from the given expression.

To remove 5x³ from the given equation, we can either eliminate the terms or reduce the power of  5x³, so that it can be added to 2x² at the end.

To bring the equation in the form of ax²+ bx + c.

hence, the correct options from the given options are,

  • The first term, 5x³, can be eliminated.
  • The exponent on the first term 5x³, can be changed to a 2 and then combined with the second term, 2x².

Learn more about Quadratic Equation:

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