Question

PLEASSSEEEE HELLLLP MEEEE!

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

Answer 1

1) C = 3

2) B = 5

3) C = 8

Explanation:

Question 1)

We have:

`(2x+3)(4x-1)`

Distribute:

`=(2x+3)(4x)+(2x+3)(-1)`

Distribute:

`=8x^2+12x-2x-3`

Combine like terms:

`=8x^2+10x-(3)`

Therefore, C = 3.

Question 2)

We have:

`(x+2) (2x^2+x-1)`

Distribute:

`\displaystyle =(x+2)(2x^2)+(x+2)(x)+(x+2)( - 1)`

Distribute:

`=(2x^3+4x^2)+(x^2+2x)+(-x -2)`

Combine like terms:

`=2x^3+(5)x^2+x-2`

Therefore, B = 5.

Question 3)

We have:

`(x+2)(x^2-3x-2)`

Distribute:

`=(x+2)(x^2)+(x+2)(-3x)+(x+2)(-2)`

Distribute:

`=(x^3+2x^2)+(-3x^2-6x)+(-2x-4)`

Combine like terms:

`=x^3-x^2-(8)x-4`

So, C = 8.