Answer :

The multiplication is as follows:

= (x^{2} -3) × (2x – 7x^{3} + 4)

= x^{2}.2x – 7x^{3}.x^{2} + 4x^{2} -3.2x + 3.7x^{3} -3.4

= 2.x^{2+1} – 7x^{3+2} + 4x^{2} -6x + 21x^{3}-12

= 2x^{3} – 7x^{5} + 4x^{2} – 6x + 21x^{3} – 12

“.” represents Multiplication

Therefore the degree of the product is 5.

Option (B) is not correct as the degree does not match to the highest degree of the variable.

Option (C) is not correct as the degree does not match to the highest degree of the variable.

Option (D) is not correct as the degree does not match to the highest degree of the variable.

So option A is correct.

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