Question

1a.) Write the polynomial in standard form: 2x+3x³ −9.

a) 3x³ + 2x − 9

b) 9 + 2x + 3x³

c) It is already in standard form.

d) 3x³ −2x+9

Answer 1

The polynomial in standard form is 3x³ + 2x − 9. This arranges the terms by descending exponents. Quadratic equations can be solved using the quadratic formula, and numbers should be properly expressed in scientific notation.

Step-by-step explanation:

To write the polynomial in standard form, we need to rearrange the terms in descending order of their exponents. The correct standard form for the polynomial 2x+3x³ −9 is 3x³ + 2x − 9. Therefore, the correct answer is:

• a) 3x³ + 2x − 9

Standard form requires that polynomials are written starting with the highest degree term first. To solve quadratic equations such as ax² + bx + c = 0, one can apply the quadratic formula. Proper scientific notation involves expressing a number as a product of a number between 1 and 10 and an integer power of 10.