Class 10 Maths · Polynomials · NCERT Exercise 2.4 · Question 4

Polynomials Medium

Find

k

so that

x^{2} + 2 x + k

is a factor of

2 x^{4} + x^{3} - 14 x^{2} + 5 x + 6

. Also find all the zeroes of the two polynomials.

Answer

k = - 3

. Zeroes of

x^{2} + 2 x - 3

are

- 3

and

1

; zeroes of

2 x^{4} + x^{3} - 14 x^{2} + 5 x + 6

are

- 3, 1, - 1/2

and

2

🔒 Step-by-step solution

Class 10 Maths — every question with an expert-verified, step-by-step solution.