CameraIcon

SearchIcon

MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

GCD of Polynomials

State whether...

Question

State whether True or False.
The H.C.F. and L.C.M. of:

$x^{2} - 25, x^{2} - 2 x - 35$ and $x^{2} - 12 x + 35$ is $1; (x - 5) (x + 5) (x - 7)$
If true then enter $1$ and if false then enter $0$

Open in App

Solution

Factorizing $x^{2} - 25, x^{2} - 2 x - 35$ and $x^{2} - 12 x + 35,$
$x^{2} - 2 = (x - 5) (x + 5)$
$x^{2} - 2 x - 35 = (x + 5) (x - 7)$
$x^{2} - 12 x + 35 = (x - 7) (x - 5)$
H.C.F. $= 1$
L.C.M. $= (x - 5) (x + 5) (x - 7)$

Suggest Corrections

thumbs-up

0

Similar questions

Q. State whether True or False.
The H.C.F. and L.C.M. of:

x^{2} - 7 x + 10

x^{2} - 4 x + 4

(x - 2); (x - 5) (x - 2)^{2}

If true then enter

1

and if false then enter

0

Q. State whether True or False.
The H.C.F. and L.C.M. of:

x^{2} - y^{2}

x^{2} - x y

x - y; x (x + y) (x - y)

If true then enter

1

and if false then enter

0

Q. State whether True or False.
The H.C.F. and L.C.M. of:

x^{2} y

x y^{2}

x y; x^{2} y^{2}

If true then enter

1

and if false then enter

0

Q. State whether True or False.
The H.C.F. and L.C.M. of:

4 x^{2} y z^{3}

6 x^{3} y^{2} z^{2}

2 x^{2} y z^{2}; 12 x^{3} y^{2} z^{3}

If true then enter

1

and if false then enter

0

Q. State whether True or False.
The H.C.F. and L.C.M. of:

2 x y^{2}, 5 x^{2} y^{3}

4 x^{3} y

x y; 20 x^{3} y^{3}

If true then enter

1

and if false then enter

0

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

GCD Long Division

MATHEMATICS

Watch in App

explore_more_icon

Explore more

GCD of Polynomials

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon