Let B be the basis of set of prime numbers P 3 consisting of the Hermite polynomials? 1, 2t, negative 2 plus 4 t squared comma and negative 12 t plus 8 t cubed ; and let Bold p left parenthesis t right parenthesis equals negative 2 minus 8 t squared plus 8 t cubed . Find the coordinate vector of p relative to B.

the answer is:

the answer is:

to solve the problem, we need to remember the quotient of power property, it's defined by the following relation:

if we have a quotienf of powers that have the same base, we need to keep the same base and subtract the exponent of the denominator power to the exponent of the numerator power.

so, we are given the expression:

then, calculating we have:

hence, the answer is:

have a nice day!

it would be 4 over -2 divided by -1 over 3.

if you want a solution it would be 4

you flip it so it would be 4/-2 divided by 3/-1 then it would be 12/3 and you would simplify it to 4