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State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial

User Sean Hagen
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1 Answer

5 votes

Answer:

The common factor is 5x.

The factored polynomial is:
5x(7x - 2)

Explanation:

Factor of the numbers:

The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:

5 - 30 - 10|5

1 - 6 - 2

Factor of the exponents:

Between
x^2, x^2 and
x, the common factor is the x with the lowest exponent. So x

Common factor

Number multiplied by exponents, so 5x.

Factoring the polynomial:


5x^2 + 30x^2 - 10x = 5x((5x^2)/(5x) + (30x^2)/(5x) - (10x)/(5x)) = 5x(x + 6x - 2) = 5x(7x - 2)

The factored polynomial is:
5x(7x - 2)

User Dty
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