Question

Mulptiplythe given polynomials and write the degree of the product
(x^2-4x+8)(x^2-1)​

Answer 1

Answer:

Correct option is

B

x

4

+3x

2

+4x

2

−3x−5

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.

Answer 2

Answer

• look at the pic

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