Question

(e) 15x²+37x²+53x+55 by 3x+5
​

Answer 1

Step-by-step explanation:

STEP1-Equation at the end of step 1

STEP-2:Equation at the end of step

2

:

STEP

3

:

52x2 + 53x + 55

Simplify ———————————————

3x + 5

Trying to factor by splitting the middle term

3.1 Factoring 52x2 + 53x + 55

The first term is, 52x2 its coefficient is 52 .

The middle term is, +53x its coefficient is 53 .

The last term, "the constant", is +55

Step-1 : Multiply the coefficient of the first term by the constant 52 • 55 = 2860

Step-2 : Find two factors of 2860 whose sum equals the coefficient of the middle term, which is 53 .

-2860 + -1 = -2861

-1430 + -2 = -1432

-715 + -4 = -719

-572 + -5 = -577

-286 + -10 = -296

-260 + -11 = -271

For tidiness, printing of 42 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!