Answer:
3(k-4)(7k^2+5)
Step-by-step explanation:
1) Factor out GCF
3(7k^3-28k^2+5k-20)
2)Split into two
3) Factor
3*7k^2(k-4)+5(k-4)
3(k-4)(7k^2+5)
Just as you look at it, the only factor common to all three terms is 'x'.
So you can factor the 'x' out and make the equation . . .
x (3x²-19x - 14) = 0
Right there, that tells you that [ x = 0 ] is a solution of the original equation.
But you're not looking for solutions, you're looking for factors, so you continue.
What about that ugly trinomial: [ 3x² - 19x - 14 ] ? Can that be factored ?
Not easily. But if you stuff it into the quadratic equation, you'll find two solutions
to the equation
3x² - 19x - 14 = 0
and you'll recall that (x - a solution) is a factor of the left side.
So you can find the remaining two factors of the original trinomial.
−8/5÷−2/3
=−8×3/5×−2
=−24/−10
simplify.
=2 2/5
Answer: The slope is -2 and the y-intercept is (0,1)
Step-by-step explanation:
If you were to take both halves of the carpet and place them on top of each other you can see that the two triangle sections would cover each over up and fill in to make a rectangle. So first, lets compute the size of the middle section, then we will compute the size of the end pieces.
The center section of the carpet is 30 ft x 31 ft = 930 sq ft
The ends of the carpet are 12 ft x 15.5 ft = 186 sq ft
Since there are two side to the carpet like this we multiply this by 2
186 * 2 = 372 sq ft
Adding these two values together gives
930 + 372 = 1302 sq ft
