What is the completely factored form of 3x5 – 7x4 + 6x2 – 14x?

Asked by maham237 @ 03/12/2020 in Mathematics viewed by 360 People

Answered by maham237 @ 03/12/2020

Answer: The factor form of the given polynomial $3x^5-7x^4+6x^2-14x$ is $x(3x-7)(x^3+2)$

Step-by-step explanation:

Given polynomial is $3x^5-7x^4+6x^2-14x$

To factorize the given polynomial take x as common from all the terms of the polynomial.

$\Rightarrow\ x(3x^4-7x^3+6x-14)\\\text{[taking }x^3\text{ as common from first two terms, we get]}\\\\\Rightarrow\ x(x^3(3x-7)+2(3x-7))\\\text{[taking (3x-7) as common ,we get]}\\\Rightarrow\ x((3x-7)(x^3+2))=x(3x-7)(x^3+2)$

Therefore, the factor form of the given polynomial $3x^5-7x^4+6x^2-14x$ is $x(3x-7)(x^3+2)$

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