State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial
1 answer:
Answer:
The common factor is 5x.
The factored polynomial is:
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 and
, the common factor is the x with the lowest exponent. So x
Common factor
Number multiplied by exponents, so 5x.
Factoring the polynomial:
The factored polynomial is:
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Answer:
Step-by-step explanation:
The equation of the line WX is, 2x + y = - 5
⇒ y = - 2x - 5 .......... (1)
This equation is in slope-intercept form and the slope is - 2 and the y-intercept is - 5.
Now, if a line perpendicular to equation (1) having slope m then, m × (- 2) = - 1
⇒
{Since the product of slopes of two mutually perpendicular straight line is - 1}
Therefore, the equation of the perpendicular line is
, where c is a constant and we have to find it.
This above line passes through the point (-1,-2) and hence
⇒
Therefore, the equation of the line will be (Answer)