Class 10 Math All topics Polynomials

Given that one of the zeroes of the cubic polynomial $ax_{3}+bx_{2}+cx+d$ is zero, the product of the other two zeroes is

(a)

$−ac $

(b)

$ac $

(c)

0

(d)

$−ab $

Correct answer: (b)

Solution: For the given equation, $ax_{3}+bx_{2}+cx+d$, 0 is the root of this equation implies d=0

Hence, the equation is $x(ax_{2}+bx+c)$

The other two roots will be from $ax_{2}+bx+c$

Product of the other roots = $ac $

Hence, the equation is $x(ax_{2}+bx+c)$

The other two roots will be from $ax_{2}+bx+c$

Product of the other roots = $ac $

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introduction to trigonometry

functions

some applications of trigonometry

quadratic equations

surface areas and volumes