how do you divide and check #(35x ^ { 5} - 42x ^ { 3} + 8x ^ { 2} ) \div ( 7x ^ { 2} )#?

1 Answer
Jim G.
Jun 24, 2017

#5x^3-6x+8/7#

Explanation:

#"divide each term on the numerator by " 7x^2#

#rArr(35x^5)/(7x^2)-(42x^3)/(7x^2)+(8x^2)/(7x^2)#

#=5x^3-6x+8/7larr" quotient"#

#color(blue)"As a check"#

#f(x)=35x^5-42x^3+8x^2#

#"then quotient " xx" divisor " =f(x)#

#rArr7x^2(5x^3-6x+8/7)#

#=35x^5-42x^3+8x^2=f(x)#

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