The polynomial 3x2 + bx - 4 has x - a as a factor, where a #0. Express b in terms of a.

Q: Find the remainder when f(x) = x3 - 4x2 - 5 is divided by (a) x - 3 (b) x + 2

A: We have to find remainder when fx=x3-4x2-5 is divided by: a x-3  b x+2 We know from remainder…

Q: Find the zeroes of the polynomial  P(x) = 4x2 - 12x + 9

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Q: Does x=−5 solve the following polynomial equation? 6x7-151x5=8x4-75x2

A: Given, 6x7-151x5=8x4-75x2------(1) Substituting x=-5 in (1), we get 6(-5)7-151(-5)5=8(-5)4-75(-5)2

Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x) =x3 -px2…

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Q: Find the degree of the polynomial. -4x3 + 7x2 - 11

A:

Q: The polynomial 3x4 - 2x3 + 13x2 - 5 is of degree . The leading coefficient is _______ .

A: The degree of the polynomial is the highest power appearing for the variable presented in the…

Q: Which polynomial has x+3 as a factor?  a) x3 - 12x2 + 37x b) x3 - 9x2 -12x + 37 c) x3- 9x2 + x…

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Q: . The polynomial 3x3 + mx2 - nx – 10 has a factor of x - 1. When divided by  x + 2, the remainder is…

A: given that x-1 is factor

Q: Find the factor of Polynomial x^3-4x^2 + 2x-8

A: We have to find the factor of polynomial  x3 - 4x2 + 2x - 8

Q: Find the degree of the polynomial y = 3x² + 4x5 - 5+x8

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Q: The polynomial 3x? + bx - 4 has

A:

Q: find the degree of the polynomial. x4 + 11x2 - 15

A: x4 + 11x2 - 15

Q: 2.) Use factoring to find the real zeroes of the polynomial. a.) f(x)= 27x-64 b.) h(x) = 25x' +175x…

A: Given, f(x)=27x3-64 find the real zeroes of the function f(x)=027x3-64=027x3=64x3=433 x=43 function…

Q: Find the value of the polynomial 3x3-4x2+7x-5 when x = 3

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Q: Find the zeros of the polynomial p(x)=(2x3+5x2-2x-5)(2x2+3x-9)

A: Given polynomial is p(x)=(2x3+5x2-2x-5)(2x2+3x-9)

Q: If one zero of the polynomial (a2 + 9)x2+ 13x + 6a is reciprocal of the other, find the value of a

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Q: The value of the polynomial 5x - 4x2+3 , when x = -1

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Q: Solve the polynomial 5x* - 16 + 3x2 + 20x - 4 = 0, given that 2 is a root of multiplicity 2.

A: Given polynomial is : 5x4-16x3+3x2+20x-4 = 0 The root x=2 has multiplicity 2.

Q: Find the value of k for which the first polynomial is a factor of the second polynomial. x-5,-x +2x…

A:

Q: Given that (x + 2) is a factor of the polynomial 2a – 5x2 + ax + a, the - value of the constant a is

A: If (x+2)  is factor of the polynomial 2x3-5x2+ax+a then remainder will be zero when we divide (x+2)…

Q: Write the polynomial d² – 4 as a product of two linear factors.

A:

Q: Show that x² – 4 is a factor of x* - 5x³ + 2x? + 20x – 24.

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Q: Find factor of polynomial of  p(x) = x^2 - 6x + 8

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Q: Find the degree of the polynomial. x2 + 6x° + 5x + 3x° – 4

A:

Q: The area of the photo frame can be expressed as the polynomial 24y2 - 31y- 15. Which equation could…

A: The area of the phote frame is 24y2-31y-15

Q: f(x)=4x' +2x°+lx² -9x° +7x +6

A:

Q: If (2x +3) is a factor of 4x + ax2 +2x +3, find the value of a. सनं म

A: a=?

Q: Examine whether x+ 2 is a factor of x3+3x2+5x+6 and of 2x+4

A:

Q: A = 7x- 3x + 10 B = -4x2 + 6x - 4 А - В %3D Your answer should be a polynomial in standard form.

A: Given: To Find:

Q: f(x)%=11x' +17x° +2x² -Ox° +0x +3

A:

Q: Find the zeros of the polynomials equation x* + 2x3 - 13x2 - 14x + 24 = 0

A:

Q: (x - 2) is a factor for x2 - 5x + 6. صواب (خطأ

A: For   x-a to be a factor of a quadretic equation then x=a is a solution of the quadretic equation.

Q: Is −4 a zero of the polynomial f(x) = 3x4− 6x3+ 5x − 12?

A: For x=4 to be the zero of the given polynomial it must fulfil the necessary condition given as.

Q: If the leading term of a polynomial is -5x^3, what do you know about the end behavior?

A: Given:

Q: Find the zeros of the polynomial x3 − 2x2 − 5x + 6

A: Use synthetic divison to solve this polynomial to get zeros.

Q: Is (x+3) a factor of 2x2 + 7x + 3

A:

Q: determine whether the second polynomial is a factor of the first polynomial.

A: determine whether the second polynomial is a factor of the first polynomial.

Q: Find the factor of x^2-7x+10

A: We have to find the factor of  x2 - 7x + 10  = x2 - 5x - 2x + 10

Q: what is the degree of the polynomial -2x2y3+4x3y2z

A: Degree of the polynomial is the highest degree present in the polynomial.The first term -2x^2*y^3…

Q: Find the condition which must be satisfied by the coefficients of the polynomial p(x)…

A: The solution is given below in the next step:

Q: your polynomial answer in standard form. 2. 2x2 + 11x +5 x +5

A: In this question , we can solve the given polynomial in standard form . i.e, Firstly , we can factor…

Q: Find the degree of the polynomial : -4x3 + 7x2 - 11

A:

Q: find the degree of the polynomial. 5x3y + 4x4y2 - 3x3y2

A: Given, 5x3y+4x4y2-3x3y2