x^2-11x+28by x-4 algebraic expressions
Answers
Answer:
Factoring x2-11x+28
The first term is, x2 its coefficient is 1 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is +28
Step-1 : Multiply the coefficient of the first term by the constant 1 • 28 = 28
Step-2 : Find two factors of 28 whose sum equals the coefficient of the middle term, which is -11 .
-28 + -1 = -29 -14 + -2 = -16 -7 + -4 = -11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -4
x2 - 7x - 4x - 28
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-7)
Add up the last 2 terms, pulling out common factors :
4 • (x-7)
Step-5 : Add up the four terms of step 4 :
(x-4) • (x-7)
Which is the desired factorization
Answer:
Mohamadkhizar your answer is correct.
Thank you for your answer.