Question

find the zeros of the quadratic polynomial p(x)=x2+3x+2 and hence find the sum and product of its zeros

Answer 1

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Answer 2

Answer:

Sum of zeros = -3

Product of zeros =2

Step-by-step explanation:

find the zeros of the quadratic polynomial p(x)=x2+3x+2 and hence find the sum and product of its zeros

${x}^{2} + 3x + 2 = 0 \\ \\ {x}^{2} + 2x + x + 2 = 0 \\ \\ x(x + 2) + 1(x + 2) = 0 \\ \\ (x + 2)(x + 1) = 0 \\ \\x + 2 = 0 \\ \\ x = - 2 \\ \\ or \\\\ (x + 1) = 0 \\ \\ x = - 1$

So, two zeros of polynomial are -2 and -1.

Sum of zeros = -2+(-1)=-3

Product of zeros=(-2)(-1)=2

Hope it helps you.