The polynomial #3x^2 +18x# has factors of 3x and which other?

2 Answers
Dec 28, 2016

Answer:

#color(green)(""(x+6))#

Explanation:

#color(white)("XX")underline(color(white)("XX")color(red)xcolor(white)("X")+color(white)("x")color(blue)6color(white)("X"))#
#3xcolor(white)("x"))color(white)("x")3x^2color(white)("x")+18x#
#color(white)("XXxX")underline(color(red)(3x^2)color(white)("x"+18x))#
#color(white)("XXXXXXXX")18x#
#color(white)("XXxX")underline(color(white)(3x^2)color(white)("x"+)color(blue)(18x))#
#color(white)("XXXXXXXXX")0#

Jul 19, 2017

Answer:

#3x^2 +18x = 3x(x+6)#

The factors of #(3x^2 +18x)# are #3x and (x+6)#

Explanation:

Factors of numbers or expressions are always in pairs.

For example: Consider #24#
Its factors are #1,2,3,4,6,8,12,24#

In pairs it means:

#24 = 1xx24, or 2xx12, or 3xx8, or 4xx6#

If we know a number is a FACTOR of another number, it means it can divide into exactly.

#50 div 5 = 10 " " rarr# 5 and 10 are factors.

#3x^2 + 18x# has a common factor of #3x# in both terms:

#3x^2 +18x = 3x(x+6)#

The factors of #3x^2 +18x# are #3x and (x+6)#