3(8x - 4) = 28x 3(8x - 4) = 28x 3(8x - 4) = 28x 3(8x - 4) = 28x 3(8x - 4) = 28x 3(8x - 4) = 28x
Answers
Answer:
3(8x - 4) = 28x 3(8x - 4) = 28x 3(8x - 4) = 28x 3(8x - 4) = 28x 3(8x - 4) = 28x 3(8x - 4) = 28x
Answer: 8x4-28x3+20x2
Final result :
4x2 • (2x - 5) • (x - 1)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
((8•(x4))-(28•(x3)))+(22•5x2)
Step 2 :
Equation at the end of step 2 :
((8 • (x4)) - (22•7x3)) + (22•5x2)
Step 3 :
Equation at the end of step 3 :
(23x4 - (22•7x3)) + (22•5x2)
Step 4 :
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
8x4 - 28x3 + 20x2 = 4x2 • (2x2 - 7x + 5)
Trying to factor by splitting the middle term
5.2 Factoring 2x2 - 7x + 5
The first term is, 2x2 its coefficient is 2 .
The middle term is, -7x its coefficient is -7 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 2 • 5 = 10
Step-2 : Find two factors of 10 whose sum equals the coefficient of the middle term, which is -7 .
-10 + -1 = -11
-5 + -2 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and -2
2x2 - 5x - 2x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-5)
Add up the last 2 terms, pulling out common factors :
1 • (2x-5)
Step-5 : Add up the four terms of step 4 :
(x-1) • (2x-5)
Which is the desired factorization
Final result :
4x2 • (2x - 5) • (x - 1)
Step-by-step explanation: