Multiply the following binomials; note that every binomial given in the problems below is a polynomial in one variable,

x, with a degree of one. Write the answers in standard form, which in this case takes the form ax^2 + ? + c, where a,

?, and c are constants.

2. (x + 1) (x - 7)

3. (x + 9) (x + 2)

4. (x - 5) (x - 3)

5. x + 15.2 (x - 1)

6. x - 5

4 x - 3

In step-by-step-explanation

Step-by-step explanation:

2) (x + 1) * (x - 7) = x² - 7x + x - 7 ⇒ x² - 6x - 7

In x² - 6x - 7 a = 1 b = - 6 c = - 7

3) (x + 9) * (x + 2) = x² + 2x + 9x + 18 ⇒ x² + 11x + 18

In x² + 11x + 18 a = 1 b = 11 c = 18

4) (x - 5) * (x - 3) = x² - 3x - 5x + 15 ⇒ x² - 8x + 15

In x² - 8x + 15 a = 1 b = - 8 c = 15

5) (x + 15) * 2 * (x - 1) ⇒ (x + 15) * (2x - 2) ⇒ 2x² - 2x + 30x - 30

2x² + 28x - 30 a = 2 ² b = 28 c = 30

6) (x - 5) * (4x - 3) ⇒ 4x² - 3x - 20x + 15

In 4x² - 3x - 20x + 15 ⇒ a = 4 b = - 20 c = 15