Identify the Degree
What is the degree of the polynomial:
3x4+2x2-1?
4
Name the polynomial:
7x+2
Binomial
A student says the degree of 3x2+4x+7 is 7.
What's the mistake?
The student confused the constant with the degree. The correct degree is 2.
Find the degree of:
5x3y2+4x2y
5(3+2 in the first term)
Name the polynomial:
5x3
Monomial
A student identifies the leading coefficient of -7x4+3x2-2 as -2.
What is the mistake?
-2 is the constant term. The leading coefficient is -7.
What is the degree of:
m5n2+mn2+n6?
7(5+2)
Name the polynomial:
m5n2+mn2+n6
Trinomial
A student states that the degree of the binomial 4a3b2c+ab2 is 5.
What is the mistake?
The student forgot to include the exponent of 1 for the variable c when adding the exponents. The correct degree of the binomial is 6.
Determine the degree:
2a3b+9a2bc2
5(2+1+2)
Name the polynomial:
2a3b+9a2bc2
Binomial
The student writes that 4x3-2x+5x3 is a trinomial.
What's the mistake?
Like terms were not combined. It's a binomial: 9x3-2x
Identify the degree:
9m5n3-2m4n2+m3
8 (5+3)
What is the correct name for:
x4+2x3+x2+x+1
Polynomial with 5 terms
A student says that the expression x2+3x+1 is a monomial because it's just one variable.
What's the mistake?
It has three terms, not one. It's a trinomial, even though there is only one variable.