On dividing 6x3+8x2-3x+8 by a polynomial g (x), q (x)= 3x+4and r (x)= 6x+20,findg (x)
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Answer:
g(x) = 2x² - 3
Step-by-step explanation:
- P(x) = 6x³ + 8x² - 3x + 8
- q(x) = 3x + 4
- r(x) = 6x + 20
- g(x) = { P(x) - r (x) } ÷ q(x)
- g(x) = { 6x³ + 8x² - 3x + 8 - 6x - 20 } ÷ 3x + 4
- g(x) = { 6x³ + 8x² - 9x - 12 } ÷ 3x + 4
- By long division , we get :
- g(x) = 2x² - 3
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