Question

`(4x^(2) + 19x^(2) + 25) div (2x^(2) - x + 5) = "_________"` .
A. `2x^(2) - 9x + 5`
B. `2x^(2) + 9 x + 5`
C. `2x^(2) + x + 5`
D. `2x^(2) - x + 5`

Answer 1

Correct Answer - C
`4x^(4) + 19 x^(2) + 25 `
= `(2x^(2))^(2) + (5)^(2) + 20x^(2) - x^(2)`
`= (2x^(2) + 5)^(2) - x^(2)`
= `(2x^(2) + x + 5) (2x^(2) - x + 5)`
`implies (4x^(4) + 19x^(2) + 25)/(2x^(2) - x+ 5) = 2x^(2) + x+ 5`.
Hence , the correct option is (c).