Multiply: $(4 x^{4} - 3 x^{2} - 7 x + 8)$ by $(5 x^{2} - 2 x - 3)$
Answer: $20 x^{6} - 8 x^{5} - 27 x^{4} - 29 x^{3} + 63 x^{2} + 5 x - 24$

True

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False

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Solution

The correct option is A True
Multiplying term by term and then adding,
$(4 x^{4} - 3 x^{2} - 7 x + 8) \times (5 x^{2} - 2 x - 3)$
$= 4 x^{4} (5 x^{2} - 2 x - 3) - 3 x^{2} (5 x^{2} - 2 x - 3) - 7 x (5 x^{2} - 2 x - 3) + 8 (5 x^{2} - 2 x - 3)$
$= 20 x^{6} - 8 x^{5} - 12 x^{4} - 15 x^{4} + 6 x^{3} + 9 x^{2} - 35 x^{3} + 14 x^{2} + 21 x + 40 x^{2} - 16 x - 24$
$= 20 x^{6} - 8 x^{5} - 27 x^{4} - 29 x^{3} + 63 x^{2} + 5 x - 24$

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