Question

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

Answer 1

In step-by-step-explanation

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