Question

check whether the polynomial f(t)=4t³-12t²+11t-3 is a multiple of 2t-3​

Answer 1

Answer:

2t-3​ is not a multiple of 4t³-12t²+11t-3.

Step-by-step explanation:

To check if 2t-3​ is a multiple of 4t³-12t²+11t-3 or not, we have to divide them.

And the remainder is supposed to be 0.

2t-3=0

2t=3

t=3/2

Put t in 4t³-12t²+11t-3.

=4(3/2)³-12(3/2)²+11(3/2)-3

=108/8-108/4+33/2-3

=47/2-26+33/2-3

=(47-52+33-6)/2

=22/2

=11≠ 0

So here,  2t-3​ is not a multiple of 4t³-12t²+11t-3.

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