Question
Multiply polynomial $ \, \color{blue}{ 5x^4-2x^2-10x^2 } \, $ by $ \, \color{orangered}{ 0 }$.
Answer
$$ \left( \color{blue}{5x^4-2x^2-10x^2} \right) \cdot \color{orangered}{0} = 0 $$
Explanation
Step 1: First we have to write polynomials in descending order.
$$ \begin{aligned} P(x) &= 5x^4-12x^2 \\ Q(x) &= 0 \\ \end{aligned} $$We can use distribution property to multiply the polynomial by the monomial.
$$ \begin{aligned} \left( 5x^4-12x^2 \right) \cdot \color{orangered}{0} &= 5x^4 \cdot \color{orangered}{0} + \left( -12x^2\right) \cdot \color{orangered}{0} = \\ &= 0 \end{aligned} $$This page was created using
Polynomial Operations Calculator