Question

Choose the polynomial that is written in standard form. xy3 + 4x5y + 10x3 x4y2 + 4x2y + 8x −9x4y2 + 4x3y5 + 10x2 x6y3 + 4x4y8 + x2

Answer 1

I am almost positive that the answer is B. This is because the exponents are decreasing as you go right

Answer 2

Answer:

$x^4y^2+4x^2y+8x$

Option 2 is correct.

Step-by-step explanation:

We need to choose polynomial into standard form.

Standard form of polynomial: The highest degree term should be first one and then write term reducing the exponent.

For example:

$P(x)=ax^n+bx^{n-1}+.......+c$

Now, we will see each option for standard polynomial.

Option 1: $xy^3+4x^5y+10x^3$

Degree of polynomial = 6

But first term degree is 4

Thus, Not in standard form

Option 2: $x^4y^2+4x^2y+8x$

Degree of polynomial = 6

But first term degree is 6

Thus, It is in standard form

Option 3: $-9x^4y^2+4x^3y^5+10x^2$

Degree of polynomial = 8

But first term degree is 6

Thus, Not in standard form

Option 4: $x^6y^3+4x^4y^8+x^2$

Degree of polynomial = 12

But first term degree is 9

Thus, Not in standard form

Hence, $x^4y^2+4x^2y+8x$ is in standard form.