Identify the least common multiple of x^2 − 10x + 21 and x^2 − 5x − 14.

Step-by-step explanation:

To answer this question we factor the expressions.

For

We are looking for 2 numbers that add up and give as a result -10 and when they multiply they give as a result 21.

These numbers are -7 and -3.

Then

For

We are looking for 2 numbers that add up and give as a result -5 and when they multiply they give as a result -14.

These numbers are -7 and 2.

Then

Finally the minimum common multiple is the common and not common factors with its greatest exponent

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."

yes

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