Question

URGENT !! Hi guys I really need help quickly, Can anybody please solve these and also write/type out each part of the equation that shows how u got the final answer. I will also give brainliest.

Answer 1

Answer:

1

• f(x) = 2x² - 3x + 7
• f(2) = 2(2²) - 3(2) + 7 = 9

2

• f(x) = -x² + 8x
• f(-4) = -(-4)² + 8(-4) = -48

3

• f(x) = 9x - 13
• f(5) = 9(5) - 13 = 32

4

• f(x) = 3x² - 17
• f(-3) = 3(-3)² - 17 = 10

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1, No

• x + 4 can't be a factor of x³ + 2x³ - x - 2 as 4 is not a factor of 2

2, Yes

• x + 1 is a factor of x⁴ + 2x³ + 2x² - 2x - 3, see below

• x⁴ + 2x³ + 2x² - 2x - 3 =
• (x⁴ + x³) + (x³ + x²) + (x² + x) - (3x + 3) =
• x³(x + 1) + x²(x + 1) + x(x + 1) - 3(x + 1)

As we see each term has a factor of x + 1, hence confirmed

Answer 2

Answer:

Question 1: 9

Question 2: -48

Question 3: 32

Question 4: 10

Step-by-step explanation:

Question 1 explanation: Since the function is f(2), that means you need to replace all variables as 2, which will be $2 * 2^2 - 3 * 2 + 7 = 2 * 4 - 6 + 7 = 8 +1 =9$.

Question 2 explanation: Since the function is f(-4), that means you need to replace all variables as -4, which will be $-1* (-4)^2 + 8 * (-4) = -1 * 16 + -32 = -16 -32=-48$.

Question 3 explanation: Since the function is f(5), that means you need to replace all variables as 5, which will be $9 * 5 -13 = 45 - 13=32$.

Question 4 explanation: Since the function is f(-3), that means you need to replace all variables as -3, which will be $3 * (-3)^2-17 =3*9-17=27-17=10$.