Question

Choose all the polynomials that are in standard form?

A: 2x + 4x3 – 9
B: 7x3 – 3x2
C: 9 + 2x + 3x2
D: 3x9 + 4x2 – 6x + 10

Answer 1

The answer should be B

Answer 2

2 Answers: Choice B and Choice D

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Step-by-step explanation:

Standard form will always have the largest exponents listed first on the left side. Then as you move to the right, the exponents will decrease. Choice B shows this with the exponents counting down (3,2). Choice D is a similar story with the exponents counting down (9,2,1,0). Think of -6x as -6x^1, and also think of the 10 as 10x^0.

Something like choice A is a non-answer because the term with the largest exponent 3 is buried in the middle, and not at the left side. The exponents are not in decreasing order. Choice C can be ruled out for similar reasons.

Side note: the largest exponent is the degree of the polynomial. This only applies to single variable polynomials.