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ACTIVITY 1 [12] Polynomials are named by the highest exponent of the variable as well as the numier of terms. For example, \( x^{5}-3 x^{2}-1 \) is a quintic trinomial. Quintic is for the exponent 5 , which is the highest, while trinomial implies three term. Using the above example, name the following polynomial expressions: \( \begin{array}{ll}1.1 ~ & 4 x^{2}+x-3 \\ 1.2 & \frac{3}{5} v^{2}\left(3 v^{2}-9\right) \\ 1.3 & k-6 k+12 k^{2}-3 k^{5} \\ 1.4 & -8 \\ 1.5 & 36 m^{6}-9 n^{2} \\ 1.6 & 5-9 y\end{array} \)

Ask by Franklin Macdonald. in South Africa
Mar 15,2025

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1.1: Quadratic Trinomial 1.2: Quartic Binomial 1.3: Quintic Trinomial 1.4: Constant Polynomial 1.5: Sextic Binomial 1.6: Linear Binomial

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Bonus Knowledge

1.1: This polynomial is a quadratic binomial, as it has a highest exponent of 2 (quadratic) and consists of two terms. 1.2: The expression simplifies to \( \frac{9}{5} v^{4} - \frac{27}{5} v^{2} \), which is a quartic binomial, since the highest exponent is 4 (quartic) and it has two terms. 1.3: This polynomial simplifies to \( -3 k^{5} + 12 k^{2} + k - 6k \), which is a quintic trinomial, due to the highest exponent being 5 and having three terms after combining like terms. 1.4: The constant polynomial is simply a constant, often referred to as a zero-degree polynomial. 1.5: This expression is a sixth-degree binomial, as the highest exponent is 6 (sixth-degree) and it features two terms. 1.6: This polynomial is a linear binomial because it has a highest exponent of 1 (linear) and consists of two terms.

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