which polynomials are in standard form? check all that apply. 12x 10x + 3x^2 - 8 15x + 4 2 - 7x
which polynomials are in standard form? check all that apply. 12x 10x + 3x^2 - 8 15x + 4 2 - 7x
Answer
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 a monomial and can be considered in standard form as the exponent of $x$ is 1 and there are no other terms to compare order with.
Step3: Analyze $10x + 3x^{2}-8$
The exponents of the terms are 1, 2, and 0. Since the terms are not in descending - order of exponents (should be $3x^{2}+10x - 8$), it is not in standard form.
Step4: Analyze $15x + 4$
The exponents of the terms are 1 and 0. The terms are in descending - order of exponents, so it is in standard form.
Step5: Analyze $2-7x$
The exponents of the terms are 0 and 1. Since the terms are not in descending - order of exponents (should be $-7x + 2$), it is not in standard form.
Answer:
12x, 15x + 4