If $(4 x^{3} - 7 x + 3)$ is a factor of the product $(4 x^{2} - 9)$ and $(2 x^{2} - 3 x + 1)$

True

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False

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Solution

The correct option is A True
$(4 x^{2} - 9) (2 x^{2} - 3 x + 1) = 8 x^{4} - 12 x^{3} + 4 x^{2} - 18 x^{2} + 27 x - 9 = 8 x^{4} - 12 x^{3} - 14 x^{2} - 27 x - 9$
Ref image
$\Rightarrow (4 x^{2} - 9) (2 x^{2} - 3 x + 1) = (4 x^{3} \to x + 3) (2 x - 3)$

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