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Math Problems
Algebra 2
Factor using a quadratic pattern
The polynomial
p
(
x
)
=
x
3
−
19
x
−
30
p(x) = x^3 - 19x - 30
p
(
x
)
=
x
3
−
19
x
−
30
has a known factor of
(
x
+
2
)
(x + 2)
(
x
+
2
)
. Rewrite
p
(
x
)
p(x)
p
(
x
)
as a product of linear factors.
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Consider the expression
\newline
4
x
2
+
x
+
3
.
4 x^{2}+x+3 \text {. }
4
x
2
+
x
+
3
.
\newline
Complete
2
2
2
descriptions of the parts of the expression.
\newline
1
1
1
. The entire expression is a sum with
□
\square
□
.
\newline
2
2
2
. The coefficients are
□
\square
□
.
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Factor
x
4
+
8
x
2
+
16
x^4 + 8x^2 + 16
x
4
+
8
x
2
+
16
completely.
\newline
All factors in your answer should have integer coefficients.
\newline
______
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