What is the coefficient of the third term of the trinomial? (In other words, what is C?)

(2x+3) (4x-1)= 8x²+ 10x-C

Give an explanation as well.

Question

07-02-2022
Mathematics

Answered

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What is the coefficient of the third term of the trinomial? (In other words, what is C?)

(2x+3) (4x-1)= 8x²+ 10x-C

Give an explanation as well.

Sagot :

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Azailia Azailia · Answer 1 · 2022-02-07T11:31:44-05:00

Hi!

In order to solve this, we need 'un factor' the factorization.

Given:

[tex](2x+3) (4x-1)[/tex]

Use the FOIL (Front, Outer, Inner, Last) distribution method:

[tex]8x^2-2x+12x-3[/tex]

Combine like terms:

[tex]8x^2+10x-3[/tex]

Therefore, -3 is your answer.

(Hint: notice that, if you wanted to shorten this step, you can simply look at the last two terms in each of the parentheses and multiply them. In this case, it's 3 and -1, and when multiplied that's -3 ~ we got the same answer from before!)

Sagot :

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