Question

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

Answer 1

The product of the given polynomials is:

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

Step-by-step explanation:

Given polynomials are:

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

We will use the distributive property to multiply the polynomials

So,

$(a^2+3a-4)(2a^2-a+5)\\=a^2(2a^2-a+5)+3a(2a^2-a+5)-4(2a^2-a+5)\\=2a^4-a^3+5a^2+6a^3-3a^2+15a-8a^2+4a-20\\Combining\ like\ terms\\=2a^4-a^3+6a^3+5a^2-3a^2-8a^2+15a+4a-20\\= 2a^4+5a^3-6a^2+19a-2$

Hence,

The product of the given polynomials is:

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

Keywords: Polynomials, Expressions

Learn more about polynomials:

• brainly.com/question/4460262
• brainly.com/question/4464845

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