Question

y2-20y+ 112 = 0 split middle term​

Answer 1

Answer:

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Factorising y2 - 20y + 112 = 0

The first term is, y2 its coefficient is 1 .

The middle term is, -20y its coefficient is -20 .

The last term, "the constant", is +112

Step 1 : Multiply the coefficient of the first term by the constant 1 • 112 = 112

Step 2 : Find two factors of 112 whose sum equals the coefficient of the middle term, which is -20 .

-112 + -1 = -113

-56 + -2 = -58

-28 + -4 = -32

-16 + -7 = -23

-14 + -8 = -22

-8 + -14 = -22

For tidiness, printing of 14 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored .

Answer 2

Answer:

Factorising y2 - 20y + 112 = 0

The first term is, y2 its coefficient is 1 .

The middle term is, -20y its coefficient is -20 .

The last term, "the constant", is +112

Multiply the coefficient of the first term by the constant 1 • 112 = 112

Find two factors of 112 whose sum equals the coefficient of the middle term, which is -20 .

-112 + -1 = -113

-56 + -2 = -58

-28 + -4 = -32

-16 + -7 = -23

-14 + -8 = -22

-8 + -14 = -22

For tidiness, printing of 14 lines which failed to find two such factors, was suppressed