If x³ + 2x and x³ − 7x² + 4x +2 + k have a common linear polynomial factor, then the value of k is what?
1 answer:
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Given:
The given quadratic polynomial is :
To find:
The quadratic polynomial whose zeroes are negatives of the zeroes of the given polynomial.
Solution:
We have,
Equate the polynomial with 0 to find the zeroes.
Splitting the middle term, we get
The zeroes of the given polynomial are -3 and 4.
The zeroes of a quadratic polynomial are negatives of the zeroes of the given polynomial. So, the zeroes of the required polynomial are 3 and -4.
A quadratic polynomial is defined as:
Therefore, the required polynomial is .
The answer is
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
this gives you 3x^2, then you multiple the outer terms
this gives you -21x, then you multiply the inner terms
that gives you 2x, finally you multiply the last terms
that gives you 14, now you combine like terms
now you put all the terms together and end up with your solution
first you must multiply or use the FOIL method (First, Outer, Inner, Last)
First you multiply the first terms
this gives you 3x^2, then you multiple the outer terms
this gives you -21x, then you multiply the inner terms
that gives you 2x, finally you multiply the last terms
that gives you 14, now you combine like terms
now you put all the terms together and end up with your solution