Question

If the polynomial 6x47x3-44x² + 83x - 30 is divided by another polynomial 6x² - 13x + 5, the quotient and remainder were (ax² + bx - c) and d respectively, then the value (a + b + c + d) is​

Answer 1

Answer:

So,  for  f(x) to be completely divisible by  x2 – 2x + k,  remainder must be equal to zero

⇒  (–10 + 2k)x + (10 – a – 8k + k2) = 0

⇒  –10 + 2k = 0  and  10 – a – 8k + k2 =  0

⇒  k = 5  and  10 – a – 8 (5) + 52 = 0

⇒  k = 5  and   – a – 5 = 0

⇒  k = 5  and   a  =  –5

Step-by-step explanation:

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