Math, asked by ajayks234432, 1 year ago

z2-5z+4 factorize please​

Answers

Answered by Anonymous
11

Answer:

(z + 1)(z - 4)

Step-by-step explanation:

Given : z² - 5z + 4

On comparing this with ax² + bx + c, we get

a = 1, b = - 5, c = 4

Using Middle Term Factorisation, we get

→ z² - 4z - z + 4

Taking out common terms, we get

→ z(z - 4) + 1(z - 4)

→ (z + 1)(z - 4)

  • In Middle Term Factorisation, we factorise the middle term only.
  • First we multiply 'a' and 'c'.
  • Then we have to find such a pair of number such that on addition or subtraction, the result equals to 'b' and on multiplication, the result equals to the multiplication of 'a' and 'c'.

We get the two terms : - 1 and - 4

Addition = (- 1) + (- 4 ) = - 5 = b

Multiplication = (- 1)(- 4) = 4 = Product of 'a' and 'c' i.e. (1)(4) = 4

Answered by 007Boy
5

Answer:

Here is your solution.. Thanks

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