Webb=ax²-bx+c we also know sum of zeroes = -b /a product of zeroes = c/a So-b/a =10 and c/a = 23 taking a=1 we get b= -10 c= 23 Hence x²-10x+23 is the required polynomial. Suggest Corrections. 3. Similar questions. Q. Find a quadratic polynomial whose zeroes are (5 ... WebbProduct of zeroes = (c/a) That is ( α ×1/α) = (k − 4)/4 ⇒ 1 = (k − 4)/4 ⇒ 4 = (k − 4) ∴ k = 8 Suggest Corrections 26 Similar questions Q. α and β are the zeros of the quadratic polynomial f(x)=kx2+2x+3k. Find the value of k, if α+β=αβ. Q. If α and β are the zeros of the quadratic polynomial x2+5x−k and α−β=1, then find the value of k. Q.
Polynomials Class 10 Extra Questions Maths Chapter 2 with …
Webb20 feb. 2024 · Find a cubic polynomial with the sum, sum of the product of its zeros taken two at a time and the product of its zeros as -2, +5, -3, respectively. (a) 2x³ + 5x² + x + 3 … WebbThe sum and product of the zeroes of a quadratic polynomial P (x) = a x^2 + b x + c are - 3 and 2 respectively. Show that b + c = 5 a . Question The sum and product of the zeroes of a quadratic polynomial P(x)=ax 2+bx+c are -3 and 2 respectively. Show that b+c=5a. Medium Solution Verified by Toppr InP(x)=ax 2+bx+c Sum = a−b=−3⇒b=3a spider with yellow abdomen
Relation Between Zeros and Coefficient of a …
Webblike and subscribe my channel Webb19 mars 2024 · Now taking the given polynomial and put the value of c as stated in equation 1 Then it can be clearly observed that '1' is one of the roots of the polynomial Now we will use the product of two roots formula to find the other root A*B=c/a 1*B=c/a B=c/a so the other root is c/a Hence, the correct option is (b). Advertisement Charmcaster … Webb21 jan. 2024 · To find the zeros of the equation, put f (x) = 0 = x 2 – (√3 + 1)x + √3 = 0 = x 2 – √3x – x + √3 = 0 = x (x – √3) – 1 (x – √3) = 0 = (x – √3) (x – 1) = 0 x = √3 and x = 1 Hence, the zeros of the quadratic equation are √3 and 1. Now, Verification Sum of zeros = – coefficient of x / coefficient of x 2 √3 + 1 = – (- (√3 +1)) / 1 √3 + 1 = √3 +1 spider with yellow and white stripes