Question

which polynomials are in standard form? check all that apply. 12x 10x + 3x^2 - 8 15x + 4 2 - 7x

Explanation:

Step1: Recall standard - form of polynomial

A polynomial in one variable is in standard form when its terms are written in descending order of exponents.

Step2: Analyze \(12x\)

It is in standard form as it can be thought of as \(12x^1\) and there are no other terms.

Step3: Analyze \(10x + 3x^2-8\)

The exponents are not in descending order (\(1,2,0\)). It should be \(3x^2+10x - 8\) to be in standard form.

Step4: Analyze \(15x + 4\)

The terms are in descending order of exponents (\(1,0\)), so it is in standard form.

Step5: Analyze \(2-7x\)

The terms are not in descending order of exponents. It should be \(-7x + 2\) to be in standard form.

Answer:

12x, 15x + 4