Question

(vii) x4 + 3x2 - 10 by x2 + 5 (Hint: put x2 = y) by factor method​

Answer 1

Step-by-step explanation:

$\frac{ {x}^{4} + 3 {x}^{2} - 10}{ {x}^{2} + 5}$

$= \frac{ {y}^{2} + 3y - 10 } {y + 5}$

$= \frac{ {y}^{2} + (5 - 2)y - 10 }{y + 5}$

$= \frac{ {y}^{2} + 5y - 2y - 10 }{y + 5}$

$= \frac{y(y + 5) - 2(y + 5)}{y + 5}$

$= \frac{(y + 5)(y - 2)}{y + 5}$

$= (y - 2)$