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question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)

(2x + 3)(4x − 1) = 8x^2 +10x − C


Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)

(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2


Question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)

(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4

Respuesta :

xKelvin

Answer:

1) C = 3

2) B = 5

3) C = 8

Step-by-step explanation:

Question 1)

We have:

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

Distribute:

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

Distribute:

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

Combine like terms:

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

Therefore, C = 3.

Question 2)

We have:

[tex](x+2) (2x^2+x-1)[/tex]

Distribute:

[tex]\displaystyle =(x+2)(2x^2)+(x+2)(x)+(x+2)( - 1)[/tex]

Distribute:

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

Combine like terms:

[tex]=2x^3+(5)x^2+x-2[/tex]

Therefore, B = 5.

Question 3)

We have:

[tex](x+2)(x^2-3x-2)[/tex]

Distribute:

[tex]=(x+2)(x^2)+(x+2)(-3x)+(x+2)(-2)[/tex]

Distribute:

[tex]=(x^3+2x^2)+(-3x^2-6x)+(-2x-4)[/tex]

Combine like terms:

[tex]=x^3-x^2-(8)x-4[/tex]

So, C = 8.

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