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ivanzaharov [21]
3 years ago
15

Polynomial division(4x^2 +7x +6) ÷(x+ 2)​

Mathematics
2 answers:
jolli1 [7]3 years ago
8 0

Answer:

4x2 + 7x - 6

 ————————————

    x - 2

Step-by-step explanation:

Roman55 [17]3 years ago
8 0

Answer:

Step-by-step explanation:

There are many methods but I give you the factorisation:

4x^{2} +7x+6= 4x^{2} + 8x - x - 2 +8= (4x^{2} + 8x )- (x + 2) +8\\= 4x(x+2)-(x+2) -8\\=(x+2)(4x-1) +8

So

\frac{4x^{2} +7x+6}{x+2}=\frac{(x+2)(4x-1)+8}{x+2} =\frac{(x+2)(4x-1)}{x+2}+\frac{8}{x+2}\\   \\=4x-1 +\frac{8}{x+2}

That means the quotient is 4x-1 and the remainder is 8.

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