Answer this quickly and i will mark you as a brainliest!
Determine whether the given numbers are factors of the polynomial equation.
( x - 5 ) is a factor of ( 3x² - 13x - 10 )
choices:
- TRUE
- FALSE
Answers
Answer:
True
Step-by-step explanation:
Let the quadratic polynomial to be factorized be ax2+bx+c. To factorize using grouping method, one needs to split middle term b in two parts, so that their sum is b and product is a×c.
In 3x2+13x−10, we should split 13 in two parts so that their product is 3×(−10)=−30. Sich numbers are 15 and −2 and hence
3x2+13x−10
= 3x2+15x−2x−10
= 3x(x+5)−2(x+5)
= (3x−2)(x+5)
follow me...........
Step-by-step explanation:
:
Let the quadratic polynomial to be factorized be
a
x
2
+
b
x
+
c
. To factorize using grouping method, one needs to split middle term
b
in two parts, so that their sum is
b
and product is
a
×
c
.
In
3
x
2
+
13
x
−
10
, we should split
13
in two parts so that their product is
3
×
(
−
10
)
=
−
30
. Sich numbers are
15
and
−
2
and hence
3
x
2
+
13
x
−
10
=
3
x
2
+
15
x
−
2
x
−
10
=
3
x
(
x
+
5
)
−
2
(
x
+
5
)
=
(
3
x
−
2
)
(
x
+
5
)