-3p²+4p-7
please answer it fast
Answers
Answer:
STEP 1
Equation at the end of step 1
((0 - 3p2) + 4p) - 7
STEP 3
Pulling out like terms
3.1 Pull out like factors :
-3p2 + 4p - 7 = -1 • (3p2 - 4p + 7)
Trying to factor by splitting the middle term
3.2 Factoring 3p2 - 4p + 7
The first term is, 3p2 its coefficient is 3 .
The middle term is, -4p its coefficient is -4 .
The last term, "the constant", is +7
Step-1 : Multiply the coefficient of the first term by the constant 3 • 7 = 21
Step-2 : Find two factors of 21 whose sum equals the coefficient of the middle term, which is -4 .
-21 + -1 = -22
-7 + -3 = -10
-3 + -7 = -10
-1 + -21 = -22
1 + 21 = 22
3 + 7 = 10
7 + 3 = 10
21 + 1 = 22
Observation : No two such factors can be found !!
Conclusion : Trinomial can not be factored
Final result
-3p2 + 4p - 7
Answer:
Step-by-step explanation:
-3p²+4p-7
=-3p²+(7-3)p-7
=-3p²+7p-3p-7
=p(3p+7)-1(3p+7)
=(p-1)(3p+7)