Question

k’ –14k +48 tell the answer full process
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Answer 1

Step-by-step explanation:

Factoring k2-14k+48

The first term is, k2 its coefficient is 1 .

The middle term is, -14k its coefficient is -14 .

The last term, "the constant", is +48

Step-1 : Multiply the coefficient of the first term by the constant 1 • 48 = 48

Step-2 : Find two factors of 48 whose sum equals the coefficient of the middle term, which is -14 .

-48 + -1 = -49

-24 + -2 = -26

-16 + -3 = -19

-12 + -4 = -16

-8 + -6 = -14 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and -6

k2 - 8k - 6k - 48

Step-4 : Add up the first 2 terms, pulling out like factors :

k • (k-8)

Add up the last 2 terms, pulling out common factors :

6 • (k-8)

Step-5 : Add up the four terms of step 4 :

(k-6) • (k-8)

Which is the desired factorization