find the product of (2x+7) (4x^2-14x+49)
Answers
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(2x - 7) • ((22x2 + 14x) - 49)
STEP
2
:
Trying to factor by splitting the middle term
2.1 Factoring 4x2+14x-49
The first term is, 4x2 its coefficient is 4 .
The middle term is, +14x its coefficient is 14 .
The last term, "the constant", is -49
Step-1 : Multiply the coefficient of the first term by the constant 4 • -49 = -196
Step-2 : Find two factors of -196 whose sum equals the coefficient of the middle term, which is 14 .
-196 + 1 = -195
-98 + 2 = -96
-49 + 4 = -45
-28 + 7 = -21
-14 + 14 = 0
-7 + 28 = 21
-4 + 49 = 45
-2 + 98 = 96
-1 + 196 = 195
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result :
(2x - 7) • (4x2 + 14x - 49)