Answer:
The common factor is 5x.
The factored polynomial is: [tex]5x(7x - 2)[/tex]
Step-by-step 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 [tex]x^2, x^2[/tex] and [tex]x[/tex], the common factor is the x with the lowest exponent. So x
Common factor
Number multiplied by exponents, so 5x.
Factoring the polynomial:
[tex]5x^2 + 30x^2 - 10x = 5x(\frac{5x^2}{5x} + \frac{30x^2}{5x} - \frac{10x}{5x}) = 5x(x + 6x - 2) = 5x(7x - 2)[/tex]
The factored polynomial is: [tex]5x(7x - 2)[/tex]
