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# Factor the expression $-x^2+2x+15$

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##  Final answer to the problem

$-\left(x-1\right)^2+16$
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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Integrate by partial fractions
• Product of Binomials with Common Term
• FOIL Method
• Integrate by substitution
• Integrate by parts
• Integrate using tabular integration
• Integrate by trigonometric substitution
• Weierstrass Substitution
• Prove from LHS (left-hand side)
Can't find a method? Tell us so we can add it.
1

Use the complete the square method to factor the trinomial of the form $ax^2+bx+c$. Take common factor $a$ ($-1$) to all terms

$-\left(x^2-2x-15\right)$

Learn how to solve factorization problems step by step online.

$-\left(x^2-2x-15\right)$

Learn how to solve factorization problems step by step online. Factor the expression -x^2+2x+15. Use the complete the square method to factor the trinomial of the form ax^2+bx+c. Take common factor a (-1) to all terms. Add and subtract \displaystyle\left(\frac{b}{2a}\right)^2. Factor the perfect square trinomial x^2+-2xx+1. Subtract the values -15 and -1.

##  Final answer to the problem

$-\left(x-1\right)^2+16$

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

SnapXam A2

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1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
.
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
θ
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

###  Main Topic: Factorization

In mathematics, factorization or factoring is the decomposition of an object (for example, a number, a polynomial, or a matrix) into a product of other objects, or factors, which when multiplied together give the original.