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Classify the following polynomials as linear, quadratic, cubic and biquadratic polynomials:$t^2 + 1$
Given:
$t^2 + 1$
To do:
We have to classify the given polynomial as linear, quadratic, cubic and biquadratic polynomial.
Solution:
Polynomials are expressions in which each term is a constant multiplied by a variable raised to a whole number power.
A linear polynomial is a polynomial of degree 1.
A quadratic polynomial is a polynomial of degree 2.
A cubic polynomial is a polynomial of degree 3.
A biquadratic polynomial is a polynomial of degree 4.
A polynomial's degree is the highest or the greatest power of a variable in a polynomial equation.
To find the degree, identify the exponents on the variables in each term, and add them together to find the degree of each term.
In $t^2 + 1$, the term $t^2$ has a variable of power $2$.
This implies the degree of $t^2 + 1$ is $2$.
Therefore, the given polynomial is a quadratic polynomial.
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