1)
Consider the following polynomials:
Polynomial A: 5z+4z4+6z3+2
Polynomial B: 2x4+9x7−12x−2
(6 points)
Leading term Polynomial A: 4z4
Leading term Polynomial A: −6z3
Leading term Polynomial B: −12x
Leading term Polynomial B: 9x7
4z4−6z3+5z+2
−6z3+5z+4z2+2
Leading coefficient Polynomial A: 4
Leading coefficient Polynomial A: −6
9x7+2x4−12x−2
−12x+9x7+2x4−2
Leading coefficient Polynomial B: 9
Leading coefficient Polynomial B: −12
2)
Consider the following polynomials:
Polynomial A: 3x^2 + 2x - 1
Polynomial B: -4x^3 + 5x + 9
Leading term Polynomial A: 3x^2
Leading term Polynomial A: -4x^3
Leading term Polynomial B: -4x^3
Leading term Polynomial B: 3x^2
3x^2 - 4x^3 + 2x - 1
-4x^3 + 3x^2 + 2x - 1
Leading coefficient Polynomial A: 3
Leading coefficient Polynomial A: -4
Leading coefficient Polynomial B: -4
Leading coefficient Polynomial B: 3