Question

Divide m4 + 3m2 – 8 by m + 2 using synthetic division and express the result as

Dividend = Divisor x Quotient + Remainder.

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Answer 1

Answer :

m⁴+ 3m²- 8 = (m + 2)•( m³ - 2m² + 7m - 14) + 20

Solution :

Here ,

We need to divide m⁴+ 3m²- 8 by (m + 2) .

m + 2 ) m⁴ + 3m² - 8 ( m³ – 2m² + 7m – 14

m⁴ + 2m³

– –

– 2m³ + 3m²

– 2m³ – 4m²

+ +

7m² – 8

7m² + 14m

– –

– 14m – 8

– 14m – 28

+ +

20

Clearly ,

Dividend = m⁴ + 3m² - 8

Divisor = m + 2

Quotient = m³ – 2m² + 7m – 14

Remainder = 20

Also ,

We know that ,

Dividend = Divisor•Quotient + Remainder

Thus ,

m⁴ + 3m² - 8 = (m + 2)•( m³ - 2m² + 7m - 14) + 20

Answer 2

Answer:

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