seeing structure in expressions common core - Look at the polynomial 2x^{4} + 3x^{2} + 6x + 7 and pick the correct statement of choice

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

STEP 1: Recall what a polynomial is

STEP 2: Recall what are the roots of a poynomial

STEP 3: What is the degree of the polynomial

STEP 4: Pick the statement of the correct choice.

Roots may be real or complex.

Some roots may be complex numbers that have an imaginary part. Complex roots come in pairs.

Since the degree of the given polynomial is 4, the polynomial can have 4 real roots, or 2 real and 2 complex roots or 4 complex roots.

So, option 2 is the correct answer.