# math

If the zeroes of the quadratic polynomial x^2+(a+1)x+bare 1& -3 find a&b

1. 👍
2. 👎
3. 👁
1. well, geez, just plug in the values. You have

(x-1)(x+3)
= x^2 + 2x - 3 = x^2 + (a+1)x + b

Now it should be clear what a and b are if the two polynomials are identical.

1. 👍
2. 👎
2. Most likely the topic is the Sum and Product of roots of a quadratic
for ax^2 + bx + c = 0
sum of roots = -b/a
product of roots = c/a

given:
sum of roots = -3+1 = -2
product of roots = -3

then -(a+1) = -2
a = 1

b/1 = -3
b = -3

1. 👍
2. 👎
3. oh, yeah. Good call.

1. 👍
2. 👎

## Similar Questions

1. ### algebra

Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. 2 – 11x^2 – 8x + 6x^2 A. –5x^2 – 8x + 2; quadratic trinomial B. –5x^2 – 8x; quadratic binomial C. –6x^2 – 8x

2. ### Math

Find all the zeroes of the polynomial function f(x) = x^3-5x^2 +6x-30. If you use synthetic division, show all three lines of numbers. plss help I asked my friends but they don't know either homework question

3. ### Algebra

A student claims that -4i is the only imaginary root of a quadratic polynomial equation that has real coefficients. a. What is the student’s mistake? (2 points) b. Write one possible polynomial that has the correct roots from

4. ### Precalc

Three zeroes of a fifth degree polynomial function are 1/3, 4 - 6i, and -2 + 11i. Determine the remaining zeroes of the function. 4 + 6i, -2 - 11i -1/3, 4 + 6i, 2 + 11i -4 + 6i, 2 - 11i 3, 4 + 6i, -2 - 11i Can I have some guidance

1. ### Algebra 1

Just checking my answers. What is the sum or difference? 1. 2x^4 - 8x^4 A. -6x^8 B. -6x^4*** C. -16x^4 D. -16x^8 What is the sum or difference 2. 10y^10 - 14y^10 A. -4y^20 B. -140y^20 C. -140y^10 D. -4y^10*** 3. Write the

2. ### 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

3. ### Math

Q.1)If one zero of the polynomial 3x2-kx-2 is 2 find the other zero.allso find the value of k. Q.2)If sum of the zeroes of the polynomial x2-x-k(2x-1) is 0,find the value of k Q.3)If 2 and 3 are the zeroes of the polynomial

4. ### If alpha

If alpha& beta are the zeroes of the polynomial 2x2-7x+3. Find the sum of the reciprocal of its zeroes

1. ### algebra

What is a polynomial function in standard form with zeroes 1,2,-3,and -3

2. ### sharma

if alpha and beta are the zero's of quadratic polynomial f(x) =x*x-x-2 find a polynomial who's zeros are 2 alpha +1 and 2 bita + 1 ?

3. ### Algebra II

Given polynomial function f and a zero of f, find the other zeroes. f(X)=4x^3-25x^2-154x+40;10

4. ### Maths

true/false 1. a cubic polynomial has at least one zero.............. 2. a quadratic polynomial an have at most two zeroes.......... 3. if r(x)is the remainder and p(x) is the divisor, then degree r(x) < degree p(x)............ 4.