Asked by Martha Ramirez on May 20, 2024
Verified
Perform the division. x2−17x+70x−7\frac { x ^ { 2 } - 17 x + 70 } { x - 7 }x−7x2−17x+70
A) x−7,x≠7x - 7 , x \neq 7x−7,x=7
B) x+17+100x−7,x≠−7x + 17 + \frac { 100 } { x - 7 } , x \neq - 7x+17+x−7100,x=−7
C) x+70x−7,x≠7x + \frac { 70 } { x - 7 } , x \neq 7x+x−770,x=7
D) x−10,x≠7x - 10 , x \neq 7x−10,x=7
E) x−3+49x−7,x≠−7x - 3 + \frac { 49 } { x - 7 } , x \neq - 7x−3+x−749,x=−7
Division
One of the four basic operations in arithmetic, division calculates how many times a number (dividend) can be contained within another number (divisor).
Simplify
To reduce a complex expression to its simplest form by performing all possible operations and combining like terms.
- Engage division principles when working with algebraic expressions.
Verified Answer
JS
Jackie SiebertMay 25, 2024
Final Answer :
D
Explanation :
To divide x2−17x+70x−7\frac { x ^ { 2 } - 17 x + 70 } { x - 7 }x−7x2−17x+70 , factor the numerator to (x−10)(x−7)(x-10)(x-7)(x−10)(x−7) , then cancel out the (x−7)(x-7)(x−7) term, leaving x−10x-10x−10 .
Learning Objectives
- Engage division principles when working with algebraic expressions.