factories 3x²+x-14 answer please
Answers
Answered by
0
Answer:
Factor
y
=
3
x
2
+
x
−
14
Explanation:
y
=
3
x
2
+
x
−
14
=
3(x + p)(x + q)
Converted trinomial
y
'
=
x
2
+
x
−
42
.
= (x + p')( + q')
p' and q' have opposite sign. Factor pairs of (-42) -->...(-2, 21)( -3, 14)(-6, 7). This sum is 7 - 6 = 1 = b. Then, p' = -6 and q' = 7.
Therefor,
p
=
−
6
3
=
−
2
and
q
=
7
3
.
Factored form:
y
=
3
(
x
−
2
)
(
x
+
7
3
)
=
(
x
−
2
)
(
3
x
+
7
)
Step-by-step explanation:
Similar questions