1. What is the degree of the polynomial?
t3 + 5t2 – 3t + 2

degree 3

Step-by-step explanation:

The degree of a polynomial is determined by the largest exponent of the variable within the polynomial.

Given

t³ + 5t² - 3t + 2

The leading term t³ has exponent 3 , then

The polynomial is degree 3

answer: it is 1: 47 pm

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."