Question

factorise using identities p^2-23p+22​

Answer 1

Step-by-step explanation:

The first term is, p2 its coefficient is 1 .

The middle term is, +23p its coefficient is 23 .

The last term, "the constant", is +22

Step-1 : Multiply the coefficient of the first term by the constant 1 • 22 = 22

Step-2 : Find two factors of 22 whose sum equals the coefficient of the middle term, which is 23 .

-22 + -1 = -23

-11 + -2 = -13

-2 + -11 = -13

-1 + -22 = -23

1 + 22 = 23 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 1 and 22

p2 + 1p + 22p + 22

Step-4 : Add up the first 2 terms, pulling out like factors :

p • (p+1)

Add up the last 2 terms, pulling out common factors :

22 • (p+1)

Step-5 : Add up the four terms of step 4 :

(p+22) • (p+1)

Answer 2

Answer:

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