Complete the steps to factor the polynomial by grouping. p(x) = x3 + 5x2 – x – 5 p(x) = x2 (x + ) – (x + 5) p(x) = (x2 – )(x + 5) p(x) = (x – )(x + 1)(x + )

Step-by-step explanation:

we are given polynomial as

We can group first two terms and last two terms

We can factor out -1 from last two terms

We can see that x^2 is common in first two terms

so, we can factor out x^2 from first two terms

we can see x+5 is in both terms

so, we can factor out x+5

we can also factor it as

P(x)=x^2(x+5)-(x+5)

P(x)=(x^2-1) (x+5)

P(x)=(x-1) (x+1) (x+5)

Step-by-step explanation:

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

the olimpics is not going to wokk out

step-by-step explanation: