Answer:

1.

FOR THE DEGREE:

g(x) = (x+5)(x-5) USE FOIL METHOD

g(x) = x²-5x+5x-25 SIMPLIFY

g(x) = x²-25

DEGREE : 2nd Degree Polynomial or Quadratic Polynomial

FOR THE ZEROES or ROOTS:

g(x) = (x+5)(x-5) EQUATE TO 0 THE TWO TERMS

x+5=0

x=-5

x-5=0

x=5

ZEROES or ROOTS : x= 5 and -5

2.

FOR THE DEGREE:

g(x) = x(x-2)(2x-3) USE DISTRIBUTION PROPERTY

g(x) = (x²-2x)(2x-3) USE FOIL METHOD

g(x) = 2x³-3x²-4x²+6x SIMPLIFY

g(x) = 2x³-7x²+6x

DEGREE : 3rd Degree Polynomial or Cubic Polynomial

FOR THE ZEROES or ROOTS:

g(x)=x(x-2)(2x-3)EQUATE TO 0 THE THREE TERMS

x=0 x-2=0 2x-3=0

x=2 2x=3

x=3/2

ZEROES or ROOTS : x= 0, 2 and 3/2

NOTE: TO FIND THE DEGREE YOU NEED TO DETERMINE THE HIGHEST EXPONENT, AND TO FIND THE ZEROES OR ROOTS EQUATE ONLY TO 0.