Consider the vector space p2 of all polynomials of degree at most 2. find all real numbers a such that t^2 −at + 1−a^2 is in the span of t^2 −2t + 1, t−1 and 3t^2 −2t−1.
a. a can be any real number.
b. a = ±2.
c. a = −1 or a = 2.
d. a = −2 or a = 1.
e. a = 0.

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."

3333333333333333333333333333333333333333333333

step-by-step explanation:

a c

step-by-step explanation: