# Synthetic division of polynomials Calculator

## Get detailed solutions to your math problems with our Synthetic division of polynomials step by step calculator. Sharpen your math skills and learn step by step with our math solver. Check out more online calculators here.

Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2

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

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

### Difficult Problems

1

Solved example of Synthetic division of polynomials

$\left(125+25y-1\cdot 5 y^2-y^3\right)^2$
2

Multiply $-1$ times $5$

$\left(125+25y-5y^2-y^3\right)^2$
3

A binomial squared (sum) is equal to the square of the first term, plus the double product of the first by the second, plus the square of the second term. In other words: $(a+b)^2=a^2+2ab+b^2$<ul><li>Square of the first term: $\left(-5y^2\right)^2 = [a^2]$</li><li>Double product of the first by the second: $2\left(-5y^2\right)\left(-y^3\right) = [2ab]$</li><li>Square of the second term: $\left(-y^3\right)^2 = \left(-5y^2\right)^2$</li></ul>

$15625+250\left(25y-5y^2-y^3\right)+\left(25y\right)^2+2\cdot 25y\left(-5y^2-y^3\right)+25y^{4}+2\left(-5\right)\left(-1\right)y^2y^3+\left(-y^3\right)^2$
4

Multiply $-1$ times $-10$

$15625+250\left(25y-5y^2-y^3\right)+\left(25y\right)^2+50y\left(-5y^2-y^3\right)+25y^{4}+10y^2y^3+\left(-y^3\right)^2$
5

When multiplying exponents with same base we can add the exponents

$15625+250\left(25y-5y^2-y^3\right)+\left(25y\right)^2+50y\left(-5y^2-y^3\right)+25y^{4}+10y^{5}+\left(-y^3\right)^2$
6

The power of a product is equal to the product of it's factors raised to the same power

$15625+250\left(25y-5y^2-y^3\right)+625y^2+50y\left(-5y^2-y^3\right)+25y^{4}+10y^{5}+y^{6}$
7

Factorizando por $y$

$15625+250\left(25y-5y^2-y^3\right)+y^{6}+y\left(10y^{4}+25y^{3}+625y+50\left(-5y^2-y^3\right)\right)$
8

Factorizando por $y$

$15625+250\left(25y-5y^2-y^3\right)+y^{6}+y\left(25y^{3}+50\left(-5y^2-y^3\right)+y\left(10y^{3}+625\right)\right)$

### Struggling with math?

Access detailed step by step solutions to millions of problems, growing every day!