To find the quotient of (5x4 − 3x2 + 4) ÷ (x + 1), use polynomial long division. The final quotient is 5x3 − 5x2 + 2x − 2, with a remainder of 6. Thus, the complete answer is 5x3 − 5x2 + 2x − 2+ x+16.

According to the Rational Root Theorem, any rational root of the polynomial f (x) = 25x7 − x6 − 5x4 +x − 49 is a factor of -49 divided by a factor of 25. Thus, the correct answer is option C. This theorem …

Sep 24, 2016 · The polynomial 4x5 − 20x4 −36x3 can be factored by finding the greatest common factor, which is 4x3. Factoring this out results in 4x3(x2 − 5x − 9). Therefore, the correct option is D.

Sep 23, 2018 · All provided equations (A, B, C, and D) are correct. Each equation correctly applies the rules of multiplication and exponent addition. Therefore, the answer includes all options as correct …

Jul 21, 2021 · The completely factored form of the polynomial 5x4 + 20x3 −105x2 is 5x2(x + 7)(x − 3), which corresponds to option B. Factoring out the GCF and factoring the quadratic leads us to this …

Jun 11, 2020 · The expression 5x4 - 80 can be factored by first taking out the common factor of 5 and then factoring the resulting difference of squares. The completely factored form is 5 (x - 2) (x + 2) (x2 …

Jun 15, 2017 · The polynomial 7 + 5x4 −3x2 has a total of 4 roots. All of these roots are complex due to a negative discriminant. Thus, none of the roots are real numbers.

Aug 14, 2017 · To determine which algebraic expression is a polynomial of degree 4, we need to consider the definition of a polynomial. A polynomial is an expression that consists of variables …

Sep 21, 2020 · If Jemini divides 5x4−6x+1 by x+2, he will need to use the long division method for him to proceed to the correct answer. The answer gotten is known as the quotient. Find the solution in the …

Jan 7, 2025 · The Commutative Property (of Multiplication) says that 4x5 = 5x4. So, If 4x5 = 20, then 5x4 will also be 20. 4x5=20 cs if you add 5 four times 5+5+5+5 it equals 20.