factorise 16 X square - 42 X + 5
Answers
Answer:
hey mate your answer is here
Step-by-step explanation:
16x2-42x+5
Final result :
(2x - 5) • (8x - 1)
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x2" was replaced by "x^2".
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(24x2 - 42x) + 5
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 16x2-42x+5
The first term is, 16x2 its coefficient is 16 .
The middle term is, -42x its coefficient is -42 .
The last term, "the constant", is +5
Step-1 : Multiply the coefficient of the first term by the constant 16 • 5 = 80
Step-2 : Find two factors of 80 whose sum equals the coefficient of the middle term, which is -42 .
-80 + -1 = -81
-40 + -2 = -42 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -40 and -2
16x2 - 40x - 2x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
8x • (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 :
(8x-1) • (2x-5)
Which is the desired factorization
Final result :
(2x - 5) • (8x - 1)
Hope it help u
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Answer:
16x² - 42x +5
16x² - 40x - 2x +5
8x (2x - 5) - 1(2x - 5)
(8x - 1)(2x - 5)
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