If 2x4 + px3 + qx2 + x + 6 is divisible by 2x2 + x − 3, find the values for theconstants p and q.
Question
Solution 1
To find the values of p and q, we can use the polynomial division method.
Step 1: Divide the first term of the dividend (2x^4) by the first term of the divisor (2x^2) to get x^2.
Step 2: Multiply the entire divisor (2x^2 + x - 3) by x^2 and subtract the result from the original polynomial.
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