The factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,
[tex]5x(x+4)[/tex]
The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.
The given polynomial in the problem is,
[tex]5x^2+20x[/tex]
Take out the greatest common factor from the above expression. As the greatest common factor of the above polynomial is 5 (5, 20), which can divide each terms. Therefore,
[tex]5(x^2+4x)[/tex]
Now take out the greatest common factor in terms of variable a and y. The lowest power of x is 1. Therefore, the equation become,
[tex]5x(x+4)[/tex]
Hence, the factor completely of the provided polynomial by taking out the greatest common factor from the polynomial is,
[tex]5x(x+4)[/tex]
Learn more about factor of polynomial here;
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Answer: 5x(x + 4)
5 is common factor
also x
reverse distributive
ab+ac=a(b+c)
5x(x)+5x(4)=5x(x+4)
Thus the answer is: 5x(x + 4)
