Write the expression in standard form. Then identify the polynomial by its degree and number of terms.
(2x4 + 3x – 4) + (-3x + 4 + x4)
Do you mean:
(2x^4 + 3x – 4) + (-3x + 4 + x^4)
= 3 x^4
fourth degree, one term
4x(10-2)
To write the expression in standard form, we need to combine like terms. First, let's group the terms with the same degree of x:
(2x^4 + x^4) + (3x - 3x) + (-4 + 4)
Combining the like terms, we get:
3x^4 + 0 + 0
Since any number multiplied by zero is zero, we can remove the zero terms:
3x^4
The expression written in standard form is 3x^4.
Now, let's identify the polynomial by its degree and number of terms. The highest exponent of x in the expression is 4, so the degree of the polynomial is 4. There is 1 term in the polynomial, which is 3x^4. Therefore, the polynomial is a 4th-degree polynomial with 1 term.