Factor the polynomial.
x²+6x+5

(x + 1 )(x+5)

Step-by-step explanation:

Given :

+ 6x + 5

Compare with the general quadratic equation:

a + bx + c

To factorize , you are  to find two numbers that multiply to give ac , and add to give b.

After which you will re - write the middle number with those numbers.

From the given question , ac = 5 , we are to find two numbers that will multiply to give 5 and add to give 6x.

The numbers are 1x and 5x.

We will then replace the middle number by the two numbers , that is

+ x + 5x + 5

x(x+1) +5( x +1)

(x+1)(x+5)

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4