## Algebra and Trigonometry 10th Edition

The number of zeros of the function is determined by the degree of the polynomial. The degree is the high value exponent of x. For example: y = x is a first degree since x has an exponent of 1. y = $x^{2}$ is a second degree polynomial since x has an exponent of 2. The number of zeros is the degree of the polynomial. We first need to expand this polynomial to evaluate: f(x) = $(t - 1)^{2}$ - $(t + 1)^{2}$ f(x) = $t^{2}$ - 2t + 1 - $t^{2}$ - 1 - 2t f(x) = -4t In this example, the highest exponent (degree of the polynomial) on the x is 1, so there is 1 zero.