Question

factorize: 11x² - 41x + 36​

Answer 1

Answer:

11×2-41×+36

Step-by-step explanation:

STEP

1

:

Equation at the end of step 1

(11x2 - 41x) + 36

STEP

2

:

Trying to factor by splitting the middle term

2.1 Factoring 11x2-41x+36

The first term is, 11x2 its coefficient is 11 .

The middle term is, -41x its coefficient is -41 .

The last term, "the constant", is +36

Step-1 : Multiply the coefficient of the first term by the constant 11 • 36 = 396

Step-2 : Find two factors of 396 whose sum equals the coefficient of the middle term, which is -41 .

-396 + -1 = -397

-198 + -2 = -200

-132 + -3 = -135

-99 + -4 = -103

-66 + -6 = -72

-44 + -9 = -53

For tidiness, printing of 30 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

11x2 - 41x + 36