Question

CLASS X: CHAPTER - 2 POLYNOMIALS 50 cm ne Ifp) = 3x - 2 6x S. find p (2). Find the quadratic polynomial whose zeroes are 2 + Find the quadratic polynomial whose zeroes are 3 3 and 2 and and Find a quadrano polynomial whose sum and product of zeroes are 2 and 3 respectively 8 second Find the zeroes of the polynomial mx++ (m + n)x+ n. If m and n are zeroes of the polynomial 3x + 11x - 4. find the value of +- 7 m Ifa and b are zeroes of the polynomial x-X-6, then find a quadratic polynomial whose zeroes are (3a + 2b) and (2a + 3b). IF(x-6) is a factor of x' + ax + bx-b=0 and a - b 7. find the values of a and b. If 2 and - 3 are the zeroes of the polynomial x + (a +1)x+ b, then find the value of a and b. 0. Obtain all zeroes of polynomial f(x) = 2x + x - 14x - 19x 6 if two of its zeroes are --2 and 1. Find all the zeroes of the polynomial x - 3x + 6x - 4. if two of its zeroes are 2 and 2 3 and 2. Find all the zeroes of the polynomial 2x* - 9x + 5x + 3x - 1. iftwo of its zeroes are 2+ 2-3. 3. Find all the zeroes of the polynomial 22'+x-6x -- 3. if two of its zeroes are 5 and 3.​

Answer 1

Answer:

Explanation:

"

X² + (a+1)x + b

2 and -3 are zeroes of the polynomial,

replacing x = 2

» 2² + (a+1)(2) + b = 0

» 4 + 2a+2 + b = 0

» 6 + 2a+b = 0

» 2a+b = -6 -----(1)

replacing  x = -3,

» (-3)² + (a+1)(-3) + b = 0

» 9 - 3a-3 + b = 0

» 6 - 3a+b = 0

» -3a+b = -6 -----(2)

(1) - (2)

2a+b - (-3a+b) = -6-(-6)

2a+b+3a-b = -6+6

5a = 0

a = 0

________

2a + b = -6

2(0)+b = -6

b = -6

Divide the polynomial x2-2 and x4-3x3+6x-4 we will get x2-3x-2 .

Split the polynomial x2-3x-2 we will get (x-2)(x-1)

so the zeroes are 2 , 1

"