Question

Multiply (x2 + 3x + 5)(2x2 – 2x+1).

a) 2x^4 + 4x^3 + 3x^2 + 13x + 5
b) 2x^4 + 6x^3 + 7x^2 + 3x + 1
c) 2x^4 + 4x^3 + 4x^2 + 14x + 5
d) 2x^4 + 3x^3 + 8x^2 + 11x + 6

Answer 1

To multiply two binomials, you can use the distributive property. Multiply each term of the first binomial by each term of the second binomial, and then combine like terms.

Step-by-step explanation:

To multiply two binomials, you can use the distributive property. Multiply each term of the first binomial by each term of the second binomial, and then combine like terms.

Using the given expression (x^2 + 3x + 5)(2x^2 – 2x + 1) as an example:

1. Multiply the first term of the first binomial (x^2) by each term of the second binomial (2x^2, -2x, 1).
2. Multiply the second term of the first binomial (3x) by each term of the second binomial (2x^2, -2x, 1).
3. Multiply the third term of the first binomial (5) by each term of the second binomial (2x^2, -2x, 1).
4. Combine like terms.

The resulting expression is 2x^4 + 4x^3 + 7x^2 + 3x + 5.