Question

3. Multiply the polynomials (a2 + 3a – 4) and (2a2 – a + 5). Simplify the answer. Show your work.

Answer 1

The product of given polynomials is:

$2a^4+5a^3-6a^2+19a-20$

Step-by-step explanation:

Distributive multiplication will be sued to multiply the given polynomials

Given expressions are:

$a^2+3a-4\\and\\2a^2-a+5$

So,

$(a^2+3a-4)(2a^2-a+5)\\= a^2(2a^2-a+5)+3a(2a^2-a+5)-4(2a^2-a+5)\\=2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20$

Combining like terms

$2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20\\=2a^4-a^3+6a^3+5a^2-3a^2-8a^2+15a+4a-20\\= 2a^4+5a^3-6a^2+19a-20$

Hence,

The product of given polynomials is:

$2a^4+5a^3-6a^2+19a-20$

Keywords: Polynomials, expressions

Learn more about polynomials at:

• brainly.com/question/4639731
• brainly.com/question/4655616

#LearnwithBrainly