Find the best tutors and institutes for Class 10 Tuition

Find Best Class 10 Tuition

No matching category found.

No matching Locality found.

Outside India?

Search for topics

Find the zeroes of the quadratic polynomial x2 + 5x + 6 and verify the relationship between the zeroes and the coefficients.

Tutor

Let P(x)=x2+5x+6=0 x2+3x+2x+6=0 (x+3)(x+2)=0 x=-3,-2 If ax2+bx+c=0 is a general form of polynomial with degree 2 Sum of zeroes is -b/a Product of zeroes is c/a From the above polynomial Sum of zeroes -3-2=-5=-5/1=-b/a Product of zeroes=-3 -2=6=6/1=c/a

Maths Tutor

-3 & -2

Perfect Maker

Let p (x) = x2+ 5x + 6 Now x2 + 5x + 6 = 0 x2 + 3x + 2x + 6 = 0 x ( x + 3 ) + 2 ( x + 3 ) = 0 X= - 3 and - 2 Then put value of x you get result

x=-2,x=-3;-b\a=-5\1=-5;c\a=6\1=6

Maths Tutor

Let p(x)= x2+5x+6 Now putting p (x)=0 X2+5x+6=0 X2+3x+2x+6=0 X (x+3)+2 (x+3)=0 (X+3)(x+2)=0 (X+3)=0,(x+2)=0 X=-3,x=-2 Therefor -3 and -2 are zeros of given polynomial p (x)and names alpha and beta Now we have to verify the cofficients of given polynomial Comapre p (x)=ax2+bx+c ;a=1,b=5,c=6 Now alpha... read more
Let p(x)= x2+5x+6 Now putting p (x)=0 X2+5x+6=0 X2+3x+2x+6=0 X (x+3)+2 (x+3)=0 (X+3)(x+2)=0 (X+3)=0,(x+2)=0 X=-3,x=-2 Therefor -3 and -2 are zeros of given polynomial p (x)and names alpha and beta Now we have to verify the cofficients of given polynomial Comapre p (x)=ax2+bx+c ;a=1,b=5,c=6 Now alpha +beta= -b/a Alpha*beta=c/a For the verification of cofficients take both the scenario L.H.S alpha+beta and R.H.S -b/a -3 + - 2 -5/1 -5 -5 Hence L.H.S=R.H.S Now Again check for L.H.S alpha*beta R.H.S c/a -3 * -2 6/1 6 6 Hence L.H.S = R.H.S So the relationship between zeros and cofficients of given polynomial is verified. read less

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Related Lessons

Equation of the median of a triangle with coordinates A ( 5 -4 ) , B (2 , 5 ) and C (4 ,-1 ) passing through vertex A.
Median from vertex A bisects the opposite side B C. Let D be the mid point of BC. Coordinates of D ( 3 , 2) Using two point formula of straight line, we can find the equation of the median. A (5 ,-4...

B.Sudhakar | 16 Mar

Basics question for today
Can u tell why factorial 0 and factorial 1 has same value as 1?

Vikas K. | 20 Feb

Tips To Score Excellent Marks In Maths
Hello students. Some tips for you all to score excellent marks in Maths: (1) Do not mug up sums and Theorems. Try to understand the concept. (2) Memorise all formulas and identities well. (3) Understand...

Deval T. | 08 Jan

Find Class X Tuition near you

Looking for Class 10 Tuition ?

Find best Class 10 Tuition in your locality on UrbanPro.

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you

Find Best Class 10 Tuition ?

Find Now »

UrbanPro.com is India's largest network of most trusted tutors and institutes. Over 25 lakh students rely on UrbanPro.com, to fulfill their learning requirements across 1,000+ categories. Using UrbanPro.com, parents, and students can compare multiple Tutors and Institutes and choose the one that best suits their requirements. More than 6.5 lakh verified Tutors and Institutes are helping millions of students every day and growing their tutoring business on UrbanPro.com. Whether you are looking for a tutor to learn mathematics, a German language trainer to brush up your German language skills or an institute to upgrade your IT skills, we have got the best selection of Tutors and Training Institutes for you. Read more