xnlghtmarexgo

2021-12-06

Identify the first step a mistake?

factor the following polynomial

$2{x}^{3}-20{x}^{2}+5x-50$

factor the following polynomial

Novembruuo

Beginner2021-12-07Added 26 answers

Step 1 : Analysis

Given :

$2{x}^{3}-20{x}^{2}+5x-50$

Step 2 : Solution

We have,

$2{x}^{3}-20{x}^{2}+5x-50$

Taking common,

$2{x}^{2}(x-10)+5(x-10)$

Taking (x-10) common,

$(2{x}^{2}+5)(x-10)$

Therefore the factorization of the polynomial

$2{x}^{3}-20{x}^{2}+5x-50=(2{x}^{2}+5)(x-10)$

Given :

Step 2 : Solution

We have,

Taking common,

Taking (x-10) common,

Therefore the factorization of the polynomial