17.5k views
1 vote
Identify the quadratic term, the linear term, and the constant term
y = 2x²+4x+2

1 Answer

5 votes

Final answer:

The equation y = 2x² + 4x + 2 has a quadratic term of 2x², a linear term of 4x, and a constant term of 2. Quadratic equations can be solved using the quadratic formula or other methods if the equation simplifies nicely.

Step-by-step explanation:

In the equation y = 2x² + 4x + 2, the quadratic term is 2x², the linear term is 4x, and the constant term is 2. These terms can be identified by their degrees; the quadratic term has a degree of two, the linear term has a degree of one, and the constant term has a degree of zero.

To solve a quadratic equation of the form ax² + bx + c = 0, one would typically use the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a). However, if the equation is already in an easily factorable form or resembles a perfect square, those methods could provide a simpler solution.

The quadratic term in the given equation is 2x², which represents the highest power of x. The linear term is 4x, which has a power of 1. The constant term is 2, which is the number without any x.

User Jens Birger Hahn
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.