Question

2. Check in which case the first polynomial is a factor of the second polynomial by dividing the second polynomial by the first polynomial :
i) x²+3x+1,3x⁴+5x³-7x²+2x+2
​

Answer 1

Answer:

I HOPE ANSWER IS CORRECT

Answer 2

Solution :-

Dividing second polynomial by the first polynomial we get,

x² + 3x + 1 ) 3x⁴ + 5x³ - 7x² + 2x + 2 ( 3x² - 4x + 2

3x⁴ + 9x³ + 3x²

- 4x³ - 10x² + 2x

- 4x³ - 12x² - 4x

2x² + 6x + 2

2x² + 6x + 2

0

we get,

→ Remainder = 0

→ Quotient = 3x² - 4x + 2 .

since we get remainder as 0, we can conclude that, the first polynomial is a factor of the second polynomial .

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