Question

if the zeros of the polynomial X square + PX + Q are double in value to the zeros of 2 x square - 5 x minus 3 find the values of P and Q​

Answer 1

i think this would help u out

Answer 2

The value of P is -5 and Q is -6

Step-by-step explanation:

Given that,

f(x) = 2x²-5x-3

Using split the middle term -5x can be written as (-6x, x)

so,

2x²-5x-3 = 2x²-6x+x-3

= 2x(x-3) + 1(x-3

= (x-3)(2x+1)

x = 3, x = -1/2

∵ -1/2 and 3 are the two zeroes of 2x²-5x-3

A.T.Q.

Zeroes of x²+ px + q  = double of -1/2 and 3

So,

-1/2 * 2 = -1

3 * 2 = 6

Thus, the zeroes for  x²+ px + q  are -1 and 6

⇒ (x + 1) (x-6) =  x² - 5x - 6

So,

P = -5

Q = -6

Thus, the value of P is -5 and Q is -6

Learn more: Find the values

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