answer for this question
Answers
Step-by-step explanation:
so the correct option is (A) 6,7
Answer:
Factoring t2-13t+42
The first term is, t2 its coefficient is 1 .
The middle term is, -13t its coefficient is -13 .
The last term, "the constant", is +42
Step-1 : Multiply the coefficient of the first term by the constant 1 • 42 = 42
Step-2 : Find two factors of 42 whose sum equals the coefficient of the middle term, which is -13 .
-42 + -1 = -43
-21 + -2 = -23
-14 + -3 = -17
-7 + -6 = -13 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -6
t2 - 7t - 6t - 42
Step-4 : Add up the first 2 terms, pulling out like factors :
t • (t-7)
Add up the last 2 terms, pulling out common factors :
6 • (t-7)
Step-5 : Add up the four terms of step 4 :
(t-6) • (t-7)
Which is the desired factorization
(t - 6) • (t - 7) = 0
t-6 = 0
Add 6 to both sides of the equation :
t = 6
t-7 = 0
Add 7 to both sides of the equation :
t = 7
Sum of roots = 6+7 = 13
Product of roots = 6×7 = 42
So, the answer is 13 , 42 [ option - B]
HOPE IT HELPS YOU !