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Burka [1]
3 years ago
13

Help i’m timed pllzzzzz

Mathematics
1 answer:
zhannawk [14.2K]3 years ago
7 0

Answer:

a = p*q\\b = (p*s)+(q*r)\\c = r*s

Step-by-step explanation:

The standard form of trinomial is given as:

ax^2+bx+c

And the factored form is:

(px+r)(qx+s)

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

(px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s

Hence,

a = p*q\\b = (p*s)+(q*r)\\c = r*s

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