Question

Q7. Kenny and Kyle submitted their work (below) to the LA for grading. Unfortunately, they did not copy the directions. What might these directions have been? Write them below. Kenny's work Kyle's work x4+6x3−16x2=x2(x2+6x−16)=x2(x+8)(x−2)​x4+6x3−16x2=0x2(x2+6x−16)=0x2(x+8)(x−2)=0x=0x=−8x=2​ Q8. a) Let f(x)=x2−3. Find the zeros of f(x). b) Write f(x) in factored form. Q9. Let f(x)=x2+x−1. Write f(x) in factored form.

Answer 1

The missing directions likely asked the students to simplify the given polynomial equations, factorize them, and find the x-values for which the solutions are zero. An example of the instructions they might have received includes finding the zeros of a given function and putting the function in its factored form.

Step-by-step explanation:

The directions to Kenny and Kyle likely asked them to first simplify the polynomial equation given and then solve for x where the equation equals zero. The process they have followed involves factorization which is common in problems such as this.

For Q8, the instructions could have been something like: a) Calculate the zeros of the function f(x)=x2−3. b) Write the function f(x) in factored form. To find the zeros of f(x), you set the function equal to zero and solve for x. The solution to this would be x= √3 and x= -√3. The factored form of f(x) would remain as x2−3 since it cannot be factored any further.

For Q9, the instructions could be: Write the function f(x)=x2+x−1 in factored form using the quadratic formula. The factored form would be f(x) = (x - φ)(x + 1 − φ) where φ is the Golden Ratio, approximately 1.61803.

Learn more about Factoring Polynomials

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