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Obtain all zeroes of the following polynomial when two of its zeroes are given p(x) = 2x^4 + x^3 - 19x -6 , having its zeroes as -2 and -1

Posted by Bharti Kumari 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Nidhi Jain 5 years, 2 months ago

Firstly make quadratic equation of -2 and -1 Like this x²-sx+p, where s=sum of zeroes and p=product of zeroes. Quadratic equation=x²+3x-2 Then divide x²+3x-2 with p(x)=2x⁴+x³-19x-6 The quotient you get after division, do the middle splitting of that equation you will get the 2 values of x which are the remaining zeroes.

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Formula for Sn

Posted by Shruti Dangi 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Nikki Malik 5 years, 2 months ago

sn=n/2+(2a+(n-1)d

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Deg p(x)=deg p(x)

Posted by Pooja Rai 5 years, 2 months ago

CBSE > Class 10 > Mathematics

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If px²+ 3x + q = 0 has two roots x = -1 and x = -2, the value of q - p is

Posted by Sushila Devi 5 years, 2 months ago

CBSE > Class 10 > Mathematics

2 answers

Rohit Panchal 5 years, 2 months ago

Your and is wrong ?

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Naman Karwa 5 years, 2 months ago

When x=-1 Equation1: p(-1)^2 + 3(-1) +q=0 p - 3 + q = 0 => q = 3 - p.......a Equation2: p(-2)^2 + 3(-2) + q = 0 4p - 6 + q = 0 From eq a: 4p - 6 + 3- p = 0 .°. p = 1 So, q =3-p q = 2 Now, q - p = 2-1 = 1.......ans.

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√7is an irrational number

Posted by Surendra Singh 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Bharti Kumari 5 years, 2 months ago

Underroot7 = a/b [ where a and b are co prime ] 7 = a^2 /b^2 [ squaring both side ] 7b^2 = a^2 ------(1) 7 divides a^2 7divides a Then , a can be written as 2m , where m is an integer . a = 7m 7b^2 = (7m)^2 [ from equation 1] 7b^2 =49m^2 b^2 =7m^2 7 divides b^2 7 divides b Thus, 7 is a common factor of a and b . a and b have no common factor other than 1. Hence , underroot 7 is irrational.

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Quadratic polynomial 6x^2 - 7 x + 2 has zeroes as lambda,beta now from a a quadratic polynomial whose zeroes are 5 lambda and 5 beta

Posted by Surya Sunny 5 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

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Show that the points (2,4) ,(2,-1) , (-3,-1) and (3,4) are the vertices of a square

Posted by Gouri Krishna K U 5 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

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Can anyone tell ki chapter 4 mein se konsi ex ka konsa q delete hua hai accg to new syllabus

Posted by Sakshi Chaudhary 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Vishesh Lalit 5 years, 2 months ago

Ex-4.3

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Mr.Gopal aged 70 lives in his house at (4,5). He goes to shop which is located at (5,2) and then to a park located at (3,6). a. Find the distance travelled by Mr.Gopal? b. In what way will you take your grandfather to the park? Why? c. What are the values you exhibit when you accompany your grandfather?

Posted by 10Bpardha Saradhi 5 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

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Exercise 3.2 class 10 questions number 1 ka both parts ????

Posted by Palak Jain 5 years, 2 months ago

CBSE > Class 10 > Mathematics

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25. If one of the zeroes of a quadratic polynomial of the form x²+ax + b is the negative of the other, then it

Posted by Gautam Choudhury 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 2 months ago

it has no linear term and the constant term is negative.

Let p(x) = x² + ax + b.
Put a = 0, then, p(x) = x² + b = 0
⇒ x²= -b
⇒ x = ± ±√-b
[∴b < 0]
Hence, if one of the zeroes of quadratic polynomial p(x) is the negative of the other, then it has no linear term i.e., a = O and the constant term is negative i.e., b< 0.
Alternate Method
Let f(x) = x² + ax+ b
and by given condition the zeroes area and – α.
Sum of the zeroes = α- α = a
=>a = 0
f(x) = x² + b, which cannot be linear,
and product of zeroes = α .(- α) = b
⇒ -α² = b
which is possible when, b < 0.
Hence, it has no linear term and the constant term is negative.

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(Class 10) There is a theorem in circles chapter that says " tangent of a circle is perpendicular to the radius of circle at point of contact." So is it true for diameter also? Because the same line i.e. radius is extended and made the diameter.....or there is some other logic for diameter?

Posted by A . 5 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

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If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is

Posted by Gautam Choudhury 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 2 months ago

By Euclid's division algorithm
b = aq + r,0 ≤ r < a [∵ dividend = divisor × quotient + remainder]
⇒ 117 = 65 × 1 + 52
⇒ 65 = 52 × 1 + 13
⇒ 52 = 13 × 4 + 0
∴ HCF (65,117) = 13 ...(i)
Also, given that, HCF (65,117) = 65m - 117 ...(ii)
From Eqs.(i) and (ii),
65m - 117 = 13
⇒ 65m = 130
⇒ m = 2

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If triangle ABC of side AB=x ,BC= x+1 and AC= x+2 then find the area of the triangle

Posted by Bhushan Santoki 5 years, 2 months ago

CBSE > Class 10 > Mathematics

0 answers

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what is the HCF of smallest composite number and smallest odd number

Posted by Swarupanand Bajbalkar 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 6 months ago

So, from the factorisation of 3 and 9, we can say that 9 is the LCM of 3 and 9. Hence, we can say that the HCF and LCM of the smallest odd composite number and the smallest odd prime number are 3 and 9 respectively.

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The addition of a rational no and an irrational no is equal to

Posted by Rajkumar Rajkumar 5 years, 2 months ago

CBSE > Class 10 > Mathematics

1 answers

Rajkumar Rajkumar 5 years, 2 months ago

Jldi btao

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If sin 0=5/13 then cos 0

Posted by Satyaprakash Tripathi 5 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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Find out XY as difference of two square number

Posted by N H 5 years, 3 months ago

CBSE > Class 10 > Mathematics

0 answers

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A watch which is set correctly at noon indicates 10 mins.after 9 the same evening when the true time is 10.What will it show at 1am at night ?

Posted by Tejasvi Gaikwad 5 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 6 months ago

As given, when the original time is 10, it shows 9.10 on the watch, hence we can conclude that the watch is running 50 minutes slow( the time shown is 50 minutes behind the actual time). Hence, when the watch shows 11, the actual time should be 50 minutes ahead, which is 11.50.

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How do solve zerois

Posted by Wakar Yunis Khan 5 years, 3 months ago

CBSE > Class 10 > Mathematics