Question

Identify the function in standard form.
A. 2x^2 - 4x + 6 = 0
B. 5x^2 - 10x + 5 = 0
C. 3x^2 + 6x - 12 = 0
D. 3x^2 + 2x + 10 = 0

Answer 1

The standard form of a function is f(x)=ax^2+bx+c and all numbers are real numbers and a is unequal to 0. Your answer is then D. it is the only function that adds both ax and bx. Hope this helps :)

Answer 2

The quadratic equation $3x^{2} + 2x + 10 = 0$ is in standard form with the leading coefficient 3.

What is the standard form of a quadratic equation?

The standard form of quadratic equation is $ax^{2} + bx + c=0$, where 'a' is the leading coefficient and it is a non-zero real number.

According to the given question.

We have quadratic equations.

The first quadratic equation $2x^{2} -4x+6 = 0$ can be written as $x^{2} -2x + 3 = 0$. So, the given quadratic equation is not in the standard form.

The second quadratic equation $5x^{2} -10x + 5 = 0$  can be written as $x^{2} -2x + 1 = 0$. So, the given quadratic equation is not in standard form.

The third quadratic equation $3x^{2} + 6x - 12 = 0$ can be written as $x^{2} + 2x - 4 = 0$. So, the given quadratic equation is not in standard form.

The fourth quadratic equation $3x^{2} + 2x + 10 = 0$ is in standard form with the leading coefficient 3.

Find out more information about the quadratic equation in standard form here:

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