# math

Omar wanted to know if x−5 is a factor of the polynomial p(x)=x3−6x2−x+30. He applied the Factor Theorem and concluded that x−5 is a factor of p(x), as shown in the following work.

Step 1: p(5)=53−6(52)−5+30
Step 2: p(5)=125−150−5+30=0
Step 3: p(5)=0, so the remainder is 0.
Step 4: The remainder is 0, so x−5 is a factor of p(x).

Did Omar make a mistake? If so, in which step does his mistake occur?

Yes, Omar's mistake is in Step 1.
Yes, Omar's mistake is in Step 3.
Yes, Omar's mistake is in Step 2.
Yes, Omar's mistake is in Step 4.
No, Omar did not make any mistakes.

1. 👍 0
2. 👎 0
3. 👁 555
1. Step 1: p(5)=53−6(52)−5+30 makes no sense
where did those numbers come from?

Step 2: p(5)=125−150−5+30=0
Step 3: p(5)=0, so the remainder is 0.
Step 4: The remainder is 0, so x−5 is a factor of p(x).

those lines were correct.

1. 👍 0
2. 👎 0
👨‍🏫
Reiny
2. He means 5^3 and 5^2, not 53 and 52

1. 👍 0
2. 👎 0
👨‍🏫
oobleck
3. No, Omar did not make any mistakes.

1. 👍 0
2. 👎 0

## Similar Questions

1. ### calculus

1.is the function f(X)=4-7x^5 a polynomial function? if so state its degree and leading coefficient. 6.use the remainder theorem to determine if x-2 is a factor of the polynomial f(x)=3x^5-7x^3-11x^2+2

2. ### math

When the product of 6 and the square of a number is increased by 5 times the number, the result is 4. Which equation represents this situation? 6x2 + 5x - 4 = 0 6x2 + 5x + 4 = 0 62x + 5 + x = 4 6 + x2 + 5x = 4

1. What is the degree of the monomial 3x2y3? 2 3 5 6 2. What is the simplified form of 8b3c2 + 4b3c2? 12bc 12b3c2 12b6c4 12b9c4 3. What is the simplified form of (4j2 + 6) + (2j2 – 3) ? (1 point) (0) 6j2 – 3 (1) 6j2 + 3 (0)

4. ### Algebra 2

1.) The cost in C dollars of manufacturing x bicycles at Holliday's Production Plant is given by the function C(x) = 2x2 - 800x + 92,000. Find the minimum cost. 2.) The vertex of y = -3x2- 6x - 9 lies in which quadrant? 3.) Given

1. ### Math

Find the discriminant for the quadratic equation f(x) = 5x^2 - 2x + 7 and describe the nature of the roots. discriminant is 144, one real root discriminant is -136, two complex roots

2. ### Math

Factor the greatest common factor from the polynomial. Assume any variable exponents represent whole numbers. 20x9 - 20x7 - 16x2

Find all zeros of the following polynomial. Write the polynomial in factored form. f(x)=x^3-3x^2+16x-48 I put: x^2(x-3)+16(x=3) (x-3)(x^2+16) For zeros: x-3=0 x=0 **My teacher stated check the equation solution again. What is the

4. ### Math

Part 1: Suppose you divide a polynomial by a binomial. How do you know if the binomial is a factor of the polynomial? Create a sample problem that has a binomial which IS a factor of the polynomial being divided, and another

1. ### Math

Factor the polynomial as the product of factors that are irreducible over the real numbers. Then write the polynomial in completely factored form involving complex nonreal or imaginary numbers. x^4 + 20x^2 -44=0

2. ### Math

Davide wants to find the zeros of the polynomial p(x)=x3−2x2−9x+18. His work is shown below. Step 1: p(x)=(x+3)(x−3)(x−2) Step 2: x+3=0 x−3=0 x−2=0 Step 3: x=2, x=3, x=−3 Explain why Davide’s work shows that 2, 3,

3. ### Algebra 2

Examine the polynomial p(x)=6x^3+17x^2−24x−35. Use the Factor Theorem to identify which binomial is a factor of p(x). a.3x+5 b.2x+7 c.x−1 d.2x−7 I thought that 2x+7 was a factor of p(x) but I don't know and I am confused