Final answer:
The quadratic term in the equation y = x² + 6x + 7 is x², the linear term is 6x, and the constant term is 7. These are identified before using the quadratic formula to solve the equation.
Step-by-step explanation:
The quadratic equation given is y = x² + 6x + 7. In this equation, the quadratic term is x², the linear term is 6x, and the constant term is 7. These terms correspond to the constants a, b, and c in the standard form of a quadratic equation, which is ax² + bx + c = 0.
To solve a quadratic equation like this, one can use the quadratic formula which requires identifying these constants. For the equation y = x² + 6x + 7, we have a = 1, b = 6, and c = 7. Plugging these values into the quadratic formula will give the solutions for x.
The quadratic equation y = x²+6x+7 can be broken down into three terms:
Quadratic term: x²
Linear term: 6x
Constant term: 7
The quadratic term represents the square of the variable x, the linear term represents the product of the variable x and the coefficient 6, and the constant term represents the standalone number 7.