Question

solve by factor theorem
p(x)=x^3+2x^2-5x-7
g(x)=x+1​

Answer 1

Answer:

• solve by factor theorem
• p(x)=x^3+2x^2-5x-7
• g(x)=x+1

Step-by-step explanation:

• x³ - 2x² -5x + 6
• Step-by-step explanation:
• Let x be 1
• P(x) = x³ - 2x² - 5x + 6
• = (1)³ - 2(1)³-5(1) + 6
• = 1-2-5+6
• = 7-7
• = 0
• x - 1 is a factor.
• Step-by-Step explanation:
• x³ - 2x² - 5x + 6
• = x³ - x²-x²+x-6x + 6
• =(x-1) (x²-x-6)
• =(x-1) {x²-3x + 2x - 6}
• = (x-1) {x(x - 3) + 2(x-3)} = (x - 1)(x + 2)(x-3)
• Please mark me as the Brainliest

Answer 2

. (i)   5x3 + 4x2 + 7x

. (i)   5x3 + 4x2 + 7x                ∵ The highest exponent of x is 3.

. (i)   5x3 + 4x2 + 7x                ∵ The highest exponent of x is 3.                ∴ The degree of the polynomial is 3.