Determine whether the simplified version of the given expression would be a
-$\left(5 x^{2}+2 x+1\right) \cdot\left(2 x^{2}-8 x+9\right)$
A) trinomial
B) binomial
C) polynomial with four or more terms

Question

Quizplus · Accepted Answer

When multiplying two polynomials, the result is a polynomial whose number of terms depends on the multiplication of each term in the first polynomial by each term in the second polynomial. Multiplying $(5x^2 + 2x + 1)$ by $(2x^2 - 8x + 9)$ involves distributing each term in the first polynomial across each term in the second, leading to a polynomial with more than three terms, specifically a polynomial with four or more terms, making it not a trinomial or binomial.

Determine Whether the Simplified Version of the Given Expression Would (5x2+2x+1)⋅(2x2−8x+9)\left(5 x^{2}+2 x+1\right) \cdot\left(2 x^{2}-8 x+9\right)(5x2+2x+1)⋅(2x2−8x+9)

Determine Whether the Simplified Version of the Given Expression Would $\left(5 x^{2}+2 x+1\right) \cdot\left(2 x^{2}-8 x+9\right)$