27 P square - 75p + 72 ka factorise it
Answers
27p² - 75p + 72 = 3 (9p² - 25p + 24)
Step-by-step explanation:
Here, 27p² - 75p + 72
= 3 (9p² - 25p + 24)
It can not be factorized further because
D = (- 25)² - 4 (9 × 24)
= 625 - (4 × 216)
= 625 - 864
= - 239 < 0
[ D = Discriminant ]
∴ the required factorization is
3 (9p² - 25p + 24)
Rule to factorize:
Any polynomial f(x) can be factorized in terms of binomial (the least) or polynomial factors if we get such a value of x for which f(x) becomes zero.
Let any polynomial be
f(x) = ax² + bx + c
If we get two values x = p, q, for which f(x) becomes zero, then we can write
f(x) ≡ ax² + bx + c = (x - p) (x - q)
It further can be computed for n degree polynomials. However those values of x are called zeroes of f(x).
One more thing to remember, is that those values must be real numbers, imaginary values must not be included.
Answer:
Heya!!
Step-by-step explanation:
Please refer to the attachment!!
