Question

Subtract the second polynomial from the first: x^4+x^2+x-1; x^4-x^3-x^2+1​

Answer 1

Answer:

Answer's Below:

Step-by-step explanation:

So here is our equation:

$x^{4}+x^{2}+x-1 -(x^{4}-x^{3}-x^{2}+1)$

so now, remove the brackets and all the signs inside the brackets will get reversed as follows:

$x^{4}+x^{2}+x-1 -x^{4}+x^{3}+x^{2}-1$

now cancel out the like terms which have opposite signs such as x^4 and             -x^4 which will result in zero. let's see what we get:

$x^{2}+x-1 +x^{3}+x^{2}-1$

then just add the like terms one by one and solve it:

$x^{2}+x-1 +x^{3}+x^{2}-1\\= 2x^{2} +x^{3}+x-2$

now arrange the final difference in descending order (greatest to lowest)

$x^{3} + 2x^{2} +x-2$

Thanks and hope it helped.