Factorise:4x²+x-5
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Answers
Step-by-step explanation:
Factoring 4x2+x-5
The first term is, 4x2 its coefficient is 4 .
The middle term is, +x its coefficient is 1 .
The last term, "the constant", is -5
Step-1 : Multiply the coefficient of the first term by the constant 4 • -5 = -20
Step-2 : Find two factors of -20 whose sum equals the coefficient of the middle term, which is 1 .
-20 + 1 = -19
-10 + 2 = -8
-5 + 4 = -1
-4 + 5 = 1 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 5
4x2 - 4x + 5x - 5
Step-4 : Add up the first 2 terms, pulling out like factors :
4x • (x-1)
Add up the last 2 terms, pulling out common factors :
5 • (x-1)
Step-5 : Add up the four terms of step 4 :
(4x+5) • (x-1)
Which is the desired factorization
Answer:
= 4x²+(5x-4x)-5
= 4x²+5x-4x-5
= x(4x+5) - 1(4x+5)
= (4x+5)(x-1)
= 4x= -5. =x=1
= x= -5/4. =x=1
= x= -5/4 , 1 (Ans)