Answer:
Step-by-step explanation:
The given polynomial is
The factors of -6 that sums up to -1 are -3,2.
We split the middle term to obtain:
We factor to get:
We factor further to get:
The polynomial is equivalent to:
Write a function rule for the table. x f(x) (–3, 1) (–2, 2) (–1, 3) (0, 4)
2 answers:
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Answer:
answer is 3 and ratio of two different numbers
Answer:
x^4 -53x^2 +108x +160
Step-by-step explanation:
If <em>a</em> is a zero, then (<em>x-a</em>) is a factor. For the given zeros, the factors are ...
p(x) = (x +8)(x +1)(x -4)(x -5)
Multiplying these out gives the polynomial in standard form.
= (x^2 +9x +8)(x^2 -9x +20)
We note that these factors have a sum and difference with the same pair of values, x^2 and 9x. We can use the special form for the product of these to simplify our working out.
= (x^2 +9x)(x^2 -9x) +20(x^2 +9x) +8(x^2 -9x) +8(20)
= x^4 -81x^2 +20x^2 +180x +8x^2 -72x +160
p(x) = x^4 -53x^2 +108x +160
_____
The graph shows this polynomial has the required zeros.
