Multiply.
-$\left( x - \frac { 2 } { 5 } \right) \left( x - \frac { 1 } { 7 } \right)$
A) $x ^ { 2 } - \frac { 3 } { 7 } x - \frac { 3 } { 35 }$
B) $x ^ { 2 } - \frac { 19 } { 35 } x + \frac { 2 } { 35 }$
C) $x ^ { 2 } - \frac { 3 } { 7 } x + \frac { 2 } { 35 }$
D) $x ^ { 2 } - \frac { 9 } { 35 } x + \frac { 2 } { 35 }$

Question

Quizplus · Accepted Answer

To multiply the given expressions, use the distributive property (FOIL method): $(x - \frac{2}{5})(x - \frac{1}{7}) = x^2 - \frac{1}{7}x - \frac{2}{5}x + \frac{2}{5} \cdot \frac{1}{7}$. Simplifying, we get $x^2 - \frac{7}{35}x - \frac{10}{35}x + \frac{2}{35} = x^2 - \frac{17}{35}x + \frac{2}{35}$, which matches choice B.

Multiply - (x−25)(x−17)\left( x - \frac { 2 } { 5 } \right) \left( x - \frac { 1 } { 7 } \right)(x−52​)(x−71​)

Multiply
- $\left( x - \frac { 2 } { 5 } \right) \left( x - \frac { 1 } { 7 } \right)$