Verified Answer :

Neuron

If you would like to find the equal expression to the polynomial 2x^4 + 5x^3 - 8x - 20, you can do this using the following steps:

2x^4 + 5x^3 - 8x - 20 = x^3 (2x + 5) - 4 (2x + 5)

The correct result would be x^3 (2x + 5) - 4 (2x + 5).

Answer:

Option (b) is correct.

\(\Rightarrow x^3(2x+5)-4(2x+5)\)  is equal to the given polynomial  \(2x^4+5x^3-8x-20\)

Step-by-step explanation:

Given polynomial \(2x^4+5x^3-8x-20\)

We have to choose form the given option that is equal to the given polynomial  \(2x^4+5x^3-8x-20\)

Consider the given polynomial  \(2x^4+5x^3-8x-20\)  

We will factorize the  given polynomial by  grouping like terms.

Taking \(x^3\) common from first two term and -4 common from last two term , we have,

\(2x^4+5x^3-8x-20\)  

\(\Rightarrow x^3(2x+5)-4(2x+5)\)      

Again taking (2x +5) common from both terms, we get

\(\Rightarrow (x^3-4)(2x+5)\)      

Thus, Option (b) is correct.

Related Questions