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Convert the polynomial to standard form.

a) 2x³ + 4x² - x + 7
b) 4x² - x + 7
c) 2x³ + 4x² - x
d) x² - 4x + 7

User Roel
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1 Answer

4 votes

Final answer:

All options provided are already in standard form. To illustrate a related concept, the quadratic equation x² + 0.0211x - 0.0211 = 0 can be solved using the quadratic formula with the coefficients a = 1, b = 0.0211, and c = -0.0211.

Step-by-step explanation:

The student's question refers to converting a polynomial to standard form. The standard form of a polynomial is to write it so that the powers of the terms are in descending order. In this context, all the options provided (a, b, c, and d) are already in standard form. Therefore, no further conversion is necessary.

Let's take a closer look at an example to solve a similar problem where we might need to use the quadratic formula. Consider the quadratic equation x² + 0.0211x - 0.0211 = 0. To solve for x using the quadratic formula, we can identify the coefficients a, b, and c, which in this case are a = 1, b = 0.0211, and c = -0.0211. Following the quadratic formula, we would compute the solution as:

-0.0211 ± √(0.0211)² - 4(1)(-0.0211) over 2(1).

User Jmancherje
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