Factor the four-term polynomial. ab ac - 4b - 4c

The factored form of  the given polynomials ab + ac - 4b - 4c is (b+c)(a-4)      

Step-by-step explanation:

 Consider the given polynomials ab + ac - 4b - 4c

We have to factor the given terms,

Since, there are four term , we can factorize using grouping like terms toether,

Like terms are term having atleast one common factor.

Here, ab and ac are like terms and -4b and - 4c

So, (ab+ ab) + (-4b -4c)

Taking a common from first bracket and -4 common from last two brackets, we have,

= a(b+c) -4(b+c)

Again taking (b+c) common from both, we get,

= (b+c)(a-4)

Thus, The factored form of  the given polynomials ab + ac - 4b - 4c is (b+c)(a-4)

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47