Question

Solve expression to a polynomial in stand: (3x+1)(2x^(2)+9x+6)

Answer 1

To solve the expression to a polynomial in standard form, we need to multiply the two polynomials: (3x+1)(2x²+9x+6). Using the distributive property, we multiply each term in the first polynomial by each term in the second polynomial and combine like terms to get the polynomial in standard form.

Step-by-step explanation:

To solve the expression to a polynomial in standard form, we need to multiply the two polynomials: (3x+1)(2x²+9x+6).

Using the distributive property, we multiply each term in the first polynomial by each term in the second polynomial:

3x * 2x² = 6x³

3x * 9x = 27x²

3x * 6 = 18x

1 * 2x² = 2x²

1 * 9x = 9x

1 * 6 = 6

Combining like terms, we get:

6x³ + 27x² + 18x + 2x² + 9x + 6

Finally, we simplify the polynomial by adding like terms:

6x³ + (27x² + 2x²) + (18x + 9x) + 6

This gives us the polynomial in standard form: 6x³ + 29x² + 27x + 6.