Answer:
(x-3)*(4x+1)
Step-by-step explanation:
Factoring 4x2-11x-3
The first term is, 4x2 its coefficient is 4 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -3
Step-1 : Multiply the coefficient of the first term by the constant 4 • -3 = -12
Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -11 .
-12 + 1 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and 1
4x2 - 12x + 1x - 3
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-3)
Add up the last 2 terms, pulling out common factors :
1 • (x-3)
Step-5 : Add up the four terms of step 4 :
(4x+1) • (x-3)
Which is the desired factorization
Final result :
(x - 3) • (4x + 1)
Answer:
[tex](4x+1)(x-3)[/tex]
Step-by-step explanation:
[tex](4x+1)(x-3)=4x^{2} +x-12x-3=4x^{2} -11x-3[/tex]
Hope this helps
