Question

If the sum and product of zeros of polynomial px^2+px+12 are 5 and 6 respectively find the value of P and Q

Answer 1

Answer:

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Answer 2

The value of p and q are 2 and -10

Step-by-step explanation:

given polynomial : $px^2+qx+12$

sum of zeroes

$\frac{-b}{a} = 5\\\\ \frac{-q}{p} = 5\\\\-q=5p\\\\q=-5p..(1)$

product of the zeroes

$\frac{c}{a}= 6\\\\ \frac{12}{p}=6\\\\p=2$

put the value of P in equation 1

q= -5p

q= -5(2)

q= -10

hence , The value of p and q are 2 and -10

#Learn more:

If the sum of the zeroes of the polynomial f (x) = px^2-4x+2p is same as their product, find the value of p

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