# What should be added to polynomial x2 5x 5 so that 3 is the zero of the resulting polynomials is?

Table of Contents

- 1 What should be added to polynomial x2 5x 5 so that 3 is the zero of the resulting polynomials is?
- 2 What should be added to the polynomial x square 5 x 4 so that x minus 3 is factor of resulting polynomial?
- 3 What must be added to the polynomial?
- 4 What should be added to the polynomial 3×4 4×3 6×2 4 so that it is completely divisible by X2 2?
- 5 What should be added to the polynomial 3×4 4×3 6×2 4 so that it is completely divisible by x2 2?
- 6 Do you add or subtract in synthetic division?
- 7 How do you find the remainder of a polynomial with p(1)?
- 8 How do you find the quotient of a polynomial using long division?

## What should be added to polynomial x2 5x 5 so that 3 is the zero of the resulting polynomials is?

So 2 should be added to the given polynomial to get 3 as the zero of the resulting polynomial.

**What is to be added to x2 5x 4 so that 3 is the zero of the polynomial?**

Answer: The number to be added is 2.

### What should be added to the polynomial x square 5 x 4 so that x minus 3 is factor of resulting polynomial?

Hence, 2 must be added to the polynomial ${{x}^{2}}-5x+4$ to make 3 a factor.

**What number should be added to X 2/5 so that the resulting polynomial leaves the remainder 3?**

Therefore all functions such f (-3)=-11 can be added to x^2+5 to give a remainder 3 when divided by x+3. If a integer need to be added that must be -11.

## What must be added to the polynomial?

Thus, if we add – r(x) to f(x), then the resulting polynomial is divisible by g(x). Hence, we should add – r(x) = x – 2 to f(x) so that the resulting polynomial is divisible by g(x).

**What should be added to the polynomial x2 16x 30 so that 15 is the zero of the resulting polynomial?**

Which means 15 should be subtracted from p(x) so that 15 is the zero of the resulting polynomial. Therefore, The required number is 15.

### What should be added to the polynomial 3×4 4×3 6×2 4 so that it is completely divisible by X2 2?

we should add 8x+4 to this polynomial so that it can easily divisible by x^2-2.

**What should be added to the polynomial X2 16x 30 so that 15 is the zero of the resulting polynomial?**

## What should be added to the polynomial 3×4 4×3 6×2 4 so that it is completely divisible by x2 2?

**What should be added in the polynomial x 3 2x 2 3x 4 so that it is completely divisible by x 2 x *?**

Hence – 5 should be added to x3 + 2×2 – 9x + 1 to make it completely divisible by x + 4.

### Do you add or subtract in synthetic division?

If a term is missing, add it in with a coefficient of 0. Step 2: Set the denominator equal to 0 and solve to find the number to put as the divisor. When you use long division, you subtract at each step. Synthetic division uses addition instead, so we switch the sign to account for this.

**What number should be added to 2×3 3×2 8x 3 so that the resulting polynomial leaves the remainder 10 when divided by 2x 1?**

Answer: 7 must be added.

## How do you find the remainder of a polynomial with p(1)?

Find the remainder when the polynomial x 3 – 2x 2 + x+1 is divided by x – 1. p (x) = x 3 – 2x 2 + x + 1 Equate the divisor to 0 to get; Substitute the value of x into the polynomial. ⟹ p (1) = (1) 3 – 2 (1) 2 + 1 + 1 Therefore, the remainder is 2.

**What is the remainder of x + 2 + x3 + ax+b?**

From the question, (x + 2) is a factor of x 3 + ax + b. Therefore, remainder is 0. From the question, (x + 3) is a factor of x 3 + ax + b. Therefore, remainder is 0.

### How do you find the quotient of a polynomial using long division?

Divide 10x⁴ + 17x³ – 62x² + 30x – 3 by (2x² + 7x – 1) using the polynomial long division method; Divide 2x 3 + 5x 2 + 9 by x + 3 using synthetic method. Reverse the sign of constant in the divisor x + 3 from 3 to -3 and bring it down. -3| 2 5 0 9 Bring down the coefficient of the first term in dividend. This will be our first quotient.

**What is the value of P when dividing x3 – px2 + x + 6?**

From the question it is given that, by dividing x 3 – px 2 + x + 6 and 2x 3 – x 2 – (p + 3)x – 6 by x – 3 = 0, then x = 3. Therefore, value of p is 1. (ii) Find ‘a’ if the two polynomials ax3 + 3×2 – 9 and 2×3 + 4x + a, leaves the same remainder when divided by x + 3.