How many toothpicks would be needed for pattern 4
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Answer:
Step-by-step explanation:
According to the Factor Theorem, a binomial (<em>x</em> - <em>a</em>) is a factor of a polynomial P(x) if and only if P(a) = 0.
We have the polynomial:
And we want to find the value of <em>K</em> such that (<em>x</em> + 1) is a factor.
We can rewrite our factor as (<em>x</em> - (-1)). Thus, <em>a</em> = -1.
Then in orer for (<em>x</em> + 1) to be a factor, P(-1) must equal 0. Hence:
Simplify:
Solve for <em>K. </em>Hence: