Question

when asked to factor the trinomial x^2-14x+49, a student gives the answer (x-7) (x+7). Which of the following statements is true?
A. The answer is correct
B. The answer is incorrect; the 7s should be 14s
C. The answer is incorrect; the minus sign should be a plus sign
D. The answer is incorrect; the plus sign should be a minus sign.

Answer 1

so you know that

x^2 -14x +49 you can rewriting it like x*x - 7x -7x +(-7)(-7)
yes ?

so from first two elements you can factorizing out x and will get x(x-7)
and from 3rd and 4thd element you can factorizing out 7 and will get -7(x-7)

so tha you rewrite this equation like

x^2 -14x +49=x(x-7)-7(x-7) but here you can factorizing out (x-7) and will get

x^2 -14x +49 = (x-7)(x-7) so

x^2 -14x +49 = (x-7)^2

so from these result that D. is right sure

hope so much that these is understandably sure right easy

Answer 2

d