If 4 is the zero of the cubic polynomial x^3 - 3x^2 - 10x + 24, find its other two zeroes.... | SA 3m | Maths | SuperPadhai

Polynomials > Question

SA3 marksYear: 2020MediumCBSE Class 10

polynomialszeroescubic-polynomialdivision

Question

If

4

is the zero of the cubic polynomial

x^{3} - 3 x^{2} - 10 x + 24

, find its other two zeroes.

Solution

1

Since

4

is a zero,

(x - 4)

is a factor.

+0.5 marks

2

$Polynomial long division of x³-3x²-10x+24 by (x-4) giving quotient x²+x-6$

Polynomial long division of x³-3x²-10x+24 by (x-4) giving quotient x²+x-6

+1.5 marks

3

x^{2} + x - 6 = (x + 3) (x - 2)

∴

Other zeroes are

- 3

and

2

.

+1 mark

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