Question

11. Find the number of zeros of x2 + 4x + 2.
12. Find the value of k, if (x - 1) is a factor of 4x3 + 3x2 - 4x +k.
13. Every whole number is a natural number write true or false.
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Answer 1

11.
$comparing \: \: with \: {ax}^{2} + bx + c$
a=1 b=4 c=2
$d = {b}^{2} - 4ac$
d= 16-8
=8
solving by quadratic formula
$x = \frac{ - b + _{ - }( \sqrt{d} ) }{2a}$
after substituting the value you will obtain
x=
$- 2 + \sqrt{2} and \: - 2 - \sqrt{2}$
12.
x - 1 is a factor of 4x^3 + 3x^2 -4x +k
then x=1 is one root of 4x^3 + 3x^2 -4x +k

put x= 1
4x^3 +3x^2 -4x +k = 0

=> 4 (1)^3 +3 (1)^2-4 (1) +k =0

=> 4 + 3 - 4 + k = 0

=> k = -3 
13. whole number = 0,1,2,3......
natural number = 1,2,3...........
hope you will like

Answer 2

Answer:

11.The answer to the first question is 2 because the degree of the polynomial is 2 (a quadratic polynomial)...

12.The answer to this question is, that the value of k= -3

13. True. Every whole number, is a natural number! The collection of whole numbers include natural numbers along with 'zero'

Hope you found it useful!