Factor the quadratic:

x²+2x = 35

The quadratic you entered is not in standard form:
ax² + bx + c = 0

Subtract 35 from both sides

x²+2x - 35 = 35 - 35
x²+2x - 35 = 0

Set up the a, b, and c values:

a = 1, b = 2, c = -35

Build factor pairs:

Since a = 1, find all factor pairs of c = -35
These must have a sum = 2

Factor Pairs of -35	Sum of Factor Pair
1,-35	1 - 35 = -34
5,-7	5 - 7 = -2
7,-5	7 - 5 = 2
35,-1	35 - 1 = 34

We want {7,-5}

Since our a coefficient = 1, we setup our factors

(x + Factor Pair Answer 1)(x + Factor Pair Answer 2)

Final Answer

(x + 7)(x - 5)

You have 1 free calculations remaining

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What is the Answer?

(x + 7)(x - 5)

How does the Quadratic Equations and Inequalities Calculator work?

Free Quadratic Equations and Inequalities Calculator - Solves for quadratic equations in the form ax² + bx + c = 0. Also generates practice problems as well as hints for each problem.
* Solve using the quadratic formula and the discriminant Δ
* Complete the Square for the Quadratic
* Factor the Quadratic
* Y-Intercept
* Vertex (h,k) of the parabola formed by the quadratic where h is the Axis of Symmetry as well as the vertex form of the equation a(h - h)² + k
* Concavity of the parabola formed by the quadratic
* Using the Rational Root Theorem (Rational Zero Theorem), the calculator will determine potential roots which can then be tested against the synthetic calculator.
This calculator has 4 inputs.

What 5 formulas are used for the Quadratic Equations and Inequalities Calculator?

y = ax2 + bx + c
(-b ± √b² - 4ac)/2a
h (Axis of Symmetry) = -b/2a
The vertex of a parabola is (h,k) where y = a(x - h)2 + k

For more math formulas, check out our Formula Dossier

What 9 concepts are covered in the Quadratic Equations and Inequalities Calculator?

complete the square

a technique for converting a quadratic polynomial of the form ax² + bx + c to a(x - h)² + k

equation

a statement declaring two mathematical expressions are equal

factor

a divisor of an integer n, also called a factor of n, is an integer m that may be multiplied by some integer to produce n.

intercept

parabola

a plane curve which is approximately U-shaped

quadratic

Polynomials with a maximum term degree as the second degree

quadratic equations and inequalities

rational root

vertex

Highest point or where 2 curves meet

Example calculations for the Quadratic Equations and Inequalities Calculator

Quadratic Equations and Inequalities Calculator Video

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