( 14x^3-21x^2-35x ) ÷ (-7x)
Answers
-2x^2 + 3x + 5 is your answer
Given:
An algebraic expression ( 14x³-21x²-35x ) ÷ ( -7x ).
To Find:
The simplified form of the given expression.
Solution:
The given problem can be solved by using the concepts of factorization.
1. The given expression is ( 14x³-21x²-35x ) ÷ ( -7x ).
2. Consider the given expression,
=> ( 14x³-21x²-35x ) ÷ ( -7x ),
=> Take 'x' common from the numerator,
=> x * ( 14x ²-21x -35 ) ÷ ( -7x ),
=> Take 7 common from the numerator,
=> [ x * ( (7*2)x ²- (7*3)x - (7*5) ) ] ÷ ( -7x ),
=> [ 7x * ( 2x ²- 3x -5 ) ] ÷ ( -7x ),
=> Take '-' common from the numerator,
=> [ -7x * ( -2x ²+ 3x + 5 ) ] ÷ ( -7x ),
=> Cancel -7x from the numerator and the denominator,
=> 1 * ( -2x ²+ 3x + 5 ),
=> -2x ²+ 3x + 5.
Therefore, the simplified form is -2x ²+ 3x + 5.