Question

x²-15x+57 solve it in step by step answer​

Answer 1

Answer:

Step-by-step explanation:

Factoring  x2-15x+57  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -15x  its coefficient is  -15 .

The last term, "the constant", is  +57  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 57 = 57  

Step-2 : Find two factors of  57  whose sum equals the coefficient of the middle term, which is   -15 .

     -57    +    -1    =    -58  

     -19    +    -3    =    -22  

     -3    +    -19    =    -22  

     -1    +    -57    =    -58  

     1    +    57    =    58  

     3    +    19    =    22  

     19    +    3    =    22  

     57    +    1    =    58  

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 x2 - 15x + 57

Answer 2

Correct Question

Solve it x² -15x +56 step by step answer .

Solution:-

x² -15x +56

Splitting Middle term

→ x² -7x -8x + 56

→ x (x -7) -8(x-7)

→ (x-7) (x-8)

Therefore, the required answer is (x-7) (x-8)

Additional Information!!

Some More identities!!

• (a + b)² = a² + b² +2ab

• ( a - b )² = a² + b² -2ab

• ( a² - b² ) = ( a - b ) ( a + b )

• ( a +b +c)² = (a² + b² + c²) + 2(ab + bc +ca)

• (a + b)³ = a³ + b³ + 3ab(a+b)

• (a-b)³ = a³ - b³ -3ab(a-b)

• ( a³ + b³) = (a+b) (a²-ab +b²)

• (a³ - b³) = (a -b) (a² + ab + b²)