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

Answer:

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

Step-by-step 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