Question

t^2 - 4t + 3 Solve it by Middle term spliting​

Answer 1

Factoring  t2-4t+3  

The first term is,  t2  its coefficient is  1 .

The middle term is,  -4t  its coefficient is  -4 .

The last term, "the constant", is  +3  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 3 = 3  

Step-2 : Find two factors of  3  whose sum equals the coefficient of the middle term, which is   -4 .

    -3    +    -1    =    -4    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  -1  

                   t2 - 3t - 1t - 3

Step-4 : Add up the first 2 terms, pulling out like factors :

                  t • (t-3)

            Add up the last 2 terms, pulling out common factors :

                   1 • (t-3)

Step-5 : Add up the four terms of step 4 :

                  (t-1)  •  (t-3)

           Which is the desired factorization

HOPE THIS HELPS!

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Answer 2

Answer:

t=3 or t=1

Step-by-step explanation:

t^2-4t+3

product=3

sum=-4

t^2-3t-t+3=0

t(t-3)-(t-3)=0

(t-3)(t-1)=0

t=3  or   t=1

Hope it's helpful