The polynomial P(x) = 5x2(x − 2)3(x + 7) has degree . It has zeros 0, 2, and . The zero 0 has multiplicity , and the zero 2 has multiplicity .

Question

The polynomial P(x) = 5x²(x − 2)³(x + 7)

 has degree  . It has zeros 0, 2, and  . The zero 0 has multiplicity  , and the zero 2 has multiplicity  .

Answer 1

0 has multiplicity 2

2 has multiplicity 3

-7 has multiplicity 1

the multiplicity = the exponent of the factor