Use the Remainder Theorem to find the remainder: (–6x3 + 3x2 – 4) ÷ (2x – 3).
2 answers:
We have that
(–6x³ + 3x²<span> – 4) ÷ (2x – 3)
----------------------</span>║<span>--------------------------
+6x</span>³+9x² -3x²+6x+9
---------------------
12x²-4
-------------------
-12x²+18x
-------------------
18x-4
-----------------
-18x+27
----------------
23-----------------> <span>the remainder
the answer is 23</span>
Answer: The correct option is (B) -17.5.
Step-by-step explanation: We are given to use the Remainder Theorem to find the remainder for the following division :
<u><em>Remainder Theorem :</em></u> When a polynomial p(x) is divided by the linear factor (x - a), then the remainder is equal to p(a).
We have
So, the remainder for the given division is given by
Thus, the required remainder is -17.5.
Option (B) is CORRECT.
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