Chapter 8.4, Problem 15MCQ

To determine

To find the product of given two polynomials.

Answer to Problem 15MCQ

  $3n^3-15n^2+6n$

Explanation of Solution

Given:

  $3n\left(n^2-5n+2\right)$

Formula used:

Distributive Law:

  $x\left(y\pm z\right)=x\cdot y\pm x\cdot z$

Calculation:

Consider the given polynomial,

  $\Rightarrow 3n\left(n^2-5n+2\right)$

  $\Rightarrow 3n\cdot n^2-3n\cdot 5n+3n\cdot 2$      [ $\because$$x\left(y\pm z\right)=x\cdot y\pm x\cdot z$ ]

  $\Rightarrow 3n^3-15n^2+6n$

Conclusion:

Therefore, product of the given polynomials is $3n^3-15n^2+6n$ .