Question

Find the product
x² + 3x + 5 and 2x - 6​

Answer 1

Step-by-step explanation:

The given polynomials are x

2

+3x+5 and x

2

−1

We can multiply the given polynomials as shown below:

(x

2

−1)(x

2

+3x+5)

⇒x

2

(x

2

+3x+5)−1(x

2

+3x+5)

⇒x

4

+3x

3

+5x

2

−x

2

−3x−5

⇒x

4

+3x

3

+(5x

2

−x

2

)−3x−5(Combiningliketerms)

⇒x

4

+3x

3

+x

2

(5−1)−3x−5

⇒x

4

+3x

3

+4x

2

−3x−5

Hence, (x

2

−1)(x

2

+3x+5)=x

4

+3x

3

+4x

2

−3x−5.

Here is your answer

Answer 2

Answer:

2x³-8x-30

Step-by-step explanation:

(2x-6)(x²+3x+5)

2x(x²+3x+5)-6(x²+3x+5)

2x³+6x²+10x-6x²-18x-30

2x³-8x-30