Verified answer

Answer:

1. FOR THE DEGREE:

g(x)=(x+2)(x-1)(3x+1)²

g(x)=(x²-x+2x-2)(9x²+6x+1) MULTIPLY THE TWO TERMS WITH WITH HIGHEST EXPONENTS

g(x)=9x⁴

DEGREE : 4th Degree Polynomial or Quartic Polynomial

FOR THE ZEROES:

x+2=0 x-1=0 (3x+1)²

x=-2 x=1 9x²+6x+1 FACTOR

(x+3)(x+3)=0 x= -3, -3

ZEROES : x= -2, 1, -3 and -3

2. FOR THE DEGREE:

g(x)=x³(x-1)(x²-1) MULTIPLY THE TERMS WITH EXPONENTS

g(x)= x^6

DEGREE : 6th Degree Polynomial

FOR THE ZEROES:

x³=0 x-1=0 x²-1=0

x=0,0,0 x=1 (x+1)(x-1)=0 x= -1, 1

ZEROES : 0, 0 ,0, 1, -1 and 1

3. FOR THE DEGREE:

p(x)=x(x+1)(x²-1)

p(x)=(x²+1)(x²-1) MULTIPLY THE TERMS WITH EXPONENTS

p(x) = x⁴

DEGREE : 4th Degree Polynomial or Quartic Polynomial

FOR THE ZEROES:

x=0 x+1=0 x²-1=0

x= -1 (x+1)(x-1)=0

x= -1, 1

ZEROES : x=0, -1, -1 and 1

4. FOR THE DEGREE:

q(x)=(x²-4)(x²-6x+9) = q(x)= x⁴

DEGREE : 4th Degree Polynomial or Quartic Polynomial

ZEROES : x= 2, -2, 3, and 3