Question

If -2 and 3 are the zeros of the quadratic polynomial x2 + (a + 1)x + b then find value of a and b

Answer 1

Answer:

a=-2

b=18

Step-by-step explanation:

Hope you understand.

Answer 2

Given polynomial:

• x² + (a + b)x + b

Given zeroes:

• -2 and 3

Sum of zeroes:

→ -2 + 3

→ 1

Product of zeroes:

→ -2 × 3

→ -6

We know that -

Sum of zeroes = -b/a

→ 1 = -(a + 1)/1

→.-a - 1 = 1

→ -a = 1 + 1

→ -a = 2

→ a = -2

Also, product of zeroes = c/a

→ -6 = b/1

→ b = -6

Hence, value of a and b are -2 and -6 respectively.