seeing structure in expressions common core - Find the zeros of the polynomial x^{2} + 3x+2

Sangeetha Pulapaka (last edited 3 years ago) (Expert, Educator @Qalaxia)

STEP1: Recall what is a poynomial

STEP2: Recall what does the term zeros of a polynomial mean

The zeros of a polynomial is where the graph touches the x-axis

Find the zeros of a polynomial

Set the polynomial to zero

x^{2}+3x+2 = 0

Recall how to factorise a quadratic equation

x^{2} + 3x + 2 = 0

x^{2} + 2x + x+2 = 0

x( x+ 2) + 1( x+ 2) = 0

(x+1)(x+2) = 0

So x = -1 and x = -1 are the zeros of the given polynomial

These are also called the roots of a polynomial