Question

Multiply (7 − 4

2 + 7 − 5) by (3 − 2).​

Answer 1

Answer:

To multiply the given polynomials 4x

4

−3x

2

−7x+8 and 5x

2

−2x−3, we distribute each term of the first polynomial to every term of the second polynomial as shown below:

(5x

2

−2x−3)(4x

4

−3x

2

−7x+8)

=5x

2

(4x

4

−3x

2

−7x+8)−2x(4x

4

−3x

2

−7x+8)−3(4x

4

−3x

2

−7x+8)

=20x

6

−15x

4

−35x

3

+40x

2

−8x

5

+6x

3

+14x

2

−16x−12x

4

+9x

2

+21x−24

=20x

6

−8x

5

+(−15x

4

−12x

4

)+(−35x

3

+6x

3

)+(40x

2

+14x

2

+9x

2

)+(−16x+21x)−24

(Combiningliketerms)

=20x

6

−8x

5

+x

4

(−15−12)+x

3

(−35+6)+x

2

(40+14+9)+x(−16+21)−24

=20x

6

−8x

5

−27x

4

−29x

3

+63x

2

+5x−24

Hence, (5x

2

−2x−3)(4x

4

−3x

2

−7x+8)=20x

6

−8x

5

−27x

4

−29x

3

+63x

2

+5x−24