For the expression 5x?y3 + xy2 + 8 to be a trinomial with a degree of 5, the missing exponent on the x-term must be
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First, this is a trinomial because it has 3 terms
The degree of a polynomial is the highest exponent to which the variable is raised
If the term of a polynomial has more than one variable, then the degree is found by adding the exponents
To make this expression a trinomial of degree 5, the power of x should be 5 - 3 = 2
this is because y is already raised to power 2
The trinomial becomes:
5x²y3 + xy² + 8
The powers of x and y add up to 5
2 + 3 = 5
The degree of a polynomial is the highest exponent to which the variable is raised
If the term of a polynomial has more than one variable, then the degree is found by adding the exponents
To make this expression a trinomial of degree 5, the power of x should be 5 - 3 = 2
this is because y is already raised to power 2
The trinomial becomes:
5x²y3 + xy² + 8
The powers of x and y add up to 5
2 + 3 = 5
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