The polynomial x2 + 7x – 44 can be factored.
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To find the value of q, we need to find d(-8). Put another way, we need to find the value of d(x) when x = -8
So this means q = 0. Note that -0 is just 0.
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The value of r will be a similar, but now we use f(x) this time.
Plug in x = 0
Therefore, r = 2.
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For s, we plug x = 10 into f(x)
So s = 3.
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Finally, plug x = 10 into d(x) to find the value of t
A shortcut you could have taken is to note how d(x) = -f(x), so this means
d(10) = -f(10) = -9 since f(10) = 9 was found in the previous section above.
Whichever method you use, you should find that t = -3.
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<h3>In summary:</h3><h3>q = 0</h3><h3>r = 2</h3><h3>s = 3</h3><h3>t = -3</h3>