Rewrite this polynomial so that the terms are in ascending order: 8x + 4x^4 + 10 + 6x^3 + 3x^5
It is hard to put them in ascending order unless you know the value of x. To see the difference, assume x=1 and later x=10.
Write all of the following statement(s) that apply to the following polynomial: -5x3 + 2x2 – 7
It is a binomial.
It cannot be evaluated at x = 1/3
It has a degree of 3.
It is cubic.
To rewrite the polynomial in ascending order, we need to rearrange the terms by their exponents in ascending order. Here's how you can do it step-by-step:
1. Start by listing the terms of the polynomial:
8x + 4x^4 + 10 + 6x^3 + 3x^5
2. Identify the exponents of each term:
8x (exponent of x is 1)
4x^4 (exponent of x is 4)
10 (exponent of x is 0 since it is a constant)
6x^3 (exponent of x is 3)
3x^5 (exponent of x is 5)
3. Arrange the terms based on their exponents in ascending order:
10 (constant term with exponent 0)
8x (term with exponent 1)
6x^3 (term with exponent 3)
4x^4 (term with exponent 4)
3x^5 (term with exponent 5)
4. Put the rearranged terms together to get the rewritten polynomial:
10 + 8x + 6x^3 + 4x^4 + 3x^5
Therefore, the polynomial rewritten in ascending order is:
10 + 8x + 6x^3 + 4x^4 + 3x^5