# Divide (49x^4-7x^3+21x^2)/(-7x)

49×4-7×3+21×2-7x
Factor 7×2 out of 49×4-7×3+21×2.
Factor 7×2 out of 49×4.
7×2(7×2)-7×3+21×2-7x
Factor 7×2 out of -7×3.
7×2(7×2)+7×2(-x)+21×2-7x
Factor 7×2 out of 21×2.
7×2(7×2)+7×2(-x)+7×2(3)-7x
Factor 7×2 out of 7×2(7×2)+7×2(-x).
7×2(7×2-x)+7×2(3)-7x
Factor 7×2 out of 7×2(7×2-x)+7×2(3).
7×2(7×2-x+3)-7x
7×2(7×2-x+3)-7x
Cancel the common factor of 7 and -7.
Factor 7 out of 7×2(7×2-x+3).
7(x2(7×2-x+3))-7x
Cancel the common factors.
Factor 7 out of -7x.
7(x2(7×2-x+3))7(-x)
Cancel the common factor.
7(x2(7×2-x+3))7(-x)
Rewrite the expression.
x2(7×2-x+3)-x
x2(7×2-x+3)-x
x2(7×2-x+3)-x
Cancel the common factor of x2 and x.
Factor x out of x2(7×2-x+3).
x(x(7×2-x+3))-x
Move the negative one from the denominator of x(7×2-x+3)-1.
-1⋅(x(7×2-x+3))
-1⋅(x(7×2-x+3))
Rewrite -1⋅(x(7×2-x+3)) as -(x(7×2-x+3)).
-(x(7×2-x+3))
Apply the distributive property.
-(x(7×2)+x(-x)+x⋅3)
Simplify.
Rewrite using the commutative property of multiplication.
-(7x⋅x2+x(-x)+x⋅3)
Rewrite using the commutative property of multiplication.
-(7x⋅x2-x⋅x+x⋅3)
Move 3 to the left of x.
-(7x⋅x2-x⋅x+3⋅x)
-(7x⋅x2-x⋅x+3⋅x)
Simplify each term.
Multiply x by x2 by adding the exponents.
Move x2.
-(7(x2x)-x⋅x+3⋅x)
Multiply x2 by x.
Raise x to the power of 1.
-(7(x2x1)-x⋅x+3⋅x)
Use the power rule aman=am+n to combine exponents.
-(7×2+1-x⋅x+3⋅x)
-(7×2+1-x⋅x+3⋅x)
-(7×3-x⋅x+3⋅x)
-(7×3-x⋅x+3⋅x)
Multiply x by x by adding the exponents.
Move x.
-(7×3-(x⋅x)+3⋅x)
Multiply x by x.
-(7×3-x2+3⋅x)
-(7×3-x2+3x)
-(7×3-x2+3x)
Apply the distributive property.
-(7×3)–x2-(3x)
Simplify.
Multiply 7 by -1.
-7×3–x2-(3x)
Multiply –x2.
Multiply -1 by -1.
-7×3+1×2-(3x)
Multiply x2 by 1.
-7×3+x2-(3x)
-7×3+x2-(3x)
Multiply 3 by -1.
-7×3+x2-3x
-7×3+x2-3x
Divide (49x^4-7x^3+21x^2)/(-7x)