Question

Factor the following expression

10X^5+5^3-14x^2-7
A (5X^3+7) (2X^2-1)
B (5x^4+7) (2x-1)
C(5x^3-7) (2x^2+1)
D(5x^4-7) (2x+1)

Answer 1

10X^5 + 5x^3 - 14x^2 - 7

= 5x^3(2x^2 + 1) - 7(2x^2 + 1)

= (5x^3 - 7)(2x^2 + 1) answer

Answer 2

C.
`(5x^3-7)(2x^2+1)`

Explanation:

Given expression is,

`10x^5+5x^3-14x^2-7`

`=10x^5-14x^2 + 5x^3 - 7` (By the commutative property)

`=2x^2(5x^3-7)+5x^3-7` (Taking
`2x^3` common from first two terms )

`=(5x^3-7)(2x^2+1)` (Taking
`5x^3-7` common from both terms)

`\implies 10x^5+5x^3-14x^2-7=(5x^3-7)(2x^2+1)`

Hence, Option C is correct