Mathematics: What is the product of (2x^2+5x-3) and (3x+7)

I tried solving this and im sorry if this is wrong but the answer is -0.16...

What is the product of (2x^2+5x-3) and (3x+7) - id2253374043887, naidaisha18

Ответ:

olivia0420

11.01.2022

Mathematics

6x^3+29x^2+26x-21

Step-by-step explanation:

You need to use distributive property and multiply each term of the binomial "3x+7" (that is 3x, and 7) by each term of the trinomial " 2x^2+5x-3 " taking care of their appropriate signs, and then combine like terms until there is no more than one term for each power of "x". It is also customary to order the final terms in descending order of power of "x".

Let's start by multiplying as indicated above:

$(2x^2+5x-3)*(3x+7)=\\=2x^2\,*\,3x+2x^2\,*\,7\,+5x*3x+5x*7-3*3x-3*7=\\=6x^3+14x^2+15x^2+35x-9x-21=\\=6x^3+[14x^2+15x^2]+[35x-9x]-21=\\=6x^3+29x^2+26x-21$

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What is the product of (2x^2+5x-3) and (3x+7)

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