Tweet # Common Core Standard HSF-IF.C.7 Questions

Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

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Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

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Using polynomial long division, find the resulting polynomial if -8 is a zero of the function.
1. $x^4 + 7x^3 - 37x^2 - 255x - 548$
2. $x^4 - 9x^3 -21x^2 +209x-180$
3. $x^4 - 9x^3 - 21x^2 - 127x + 2508$
4. $x^4 +7x^3 - 149x^2 + 1233x - 8354$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7e
Grade 9 Linear Equations CCSS: HSF-IF.C.7, HSF-IF.C.7a
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

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Using the result from the previous question, and the fact that 9 is also a zero of the function $P(x)$, use polynomial division to find the result of $(P(x))/((x+8)*(x-9))$.
1. $x^3 - 18x^2 + 141x - 1060$
2. $x^3 - 18x^2 - 183x - 1438$
3. $x^3 - 21x + 20$
4. $x^2 - 8x + 43$
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7e
Grade 11 Exponents CCSS: HSF-IF.C.7, HSF-IF.C.7e
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7c

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What are the remaining zeros of the function P(x)?
1. -5, 1, and 4
2. There are no more zeros.
3. 1 and 4
4. -5 and 4
Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7e
 $P -> -oo$ $P-> +oo$ $x -> -oo$ $x -> +oo$  