Question

For the polynomial 6xy2-5x?y?+9x? to be a trinomial with a degree of 3 after it has been fully simplified, what is the
missing exponent of the y in the second term?
0
e 1
2.
x 3

Answer 1

Answer:

The exponent of y is 1

Step-by-step explanation:

Given

$6xy^2 - 5x^{[]}y^{[]} + 9x^{[]}$

$degree = 3$

Required

The exponent of y (second term)

Since the polynomial has a degree of 3, the exponents of y will decrease from left to right (i.e. 2,1,0) while x will increase from left to right (i.e. 1,2,3)

So, we have:

$6xy^2 - 5x^{[]}y^{[]} + 9x^{[]} = 6xy^2 - 5x^{[2]}y^{[1]} + 9x^{[3]}$

Remove square brackets

$6xy^2 - 5x^{[]}y^{[]} + 9x^{[]} = 6xy^2 - 5x^2y + 9x^3$

The second term is:

$T_2 =5x^2y$

The exponent of y is 1