If the product of the roots of $4x^3 + 16x^2 - 9x - a = 0$ is 9, then find a.

If the product of the roots of 4x³ + 16x² - 9x - a – Class 12 Mathematics

Question 3 of 16

4x^3 + 16x^2 - 9x - a = 0

Yanam BieapBIEAP Intermediate Board 2019Subjective· 2mImportance★★★★★

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Using the relation (product of roots) $=-\dfrac{d}{a}$ for a cubic $ax^3+bx^2+cx+d=0$ gives $a=36$ .

Step 1 — Identify coefficients.

For $4x^3+16x^2-9x-a=0$ , comparing with $Ax^3+Bx^2+Cx+D=0$ : $A=4,\ D=-a$ .

Step 2 — Product-of-roots formula. …